Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25578l |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.3276024487203E+33 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35029435716,-1815132457418288] |
[a1,a2,a3,a4,a6] |
Generators |
[2464598776246933903387559897261592659696806083619283908233724450721927058542427074349239149645035649581178039170651679643170583931531562620356015:-301247510964720975667329844648184699530046962372693528876185188674760049677436382199041228885921648440393620265751653216515577244815027018123694111:11412762021152724466154799299144216512749317469117263082112864669254994572074157829048129755337661181030533436024653836973661962292088745875] |
Generators of the group modulo torsion |
j |
55425212630542527476751037873/15479334185118626660294016 |
j-invariant |
L |
4.7800109266292 |
L(r)(E,1)/r! |
Ω |
0.011268467712901 |
Real period |
R |
212.09675744808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8526r3 3654g3 |
Quadratic twists by: -3 -7 |