Atkin-Lehner |
5+ 7+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
97825a |
Isogeny class |
Conductor |
97825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1.7508284817394E+23 |
Discriminant |
Eigenvalues |
0 2 5+ 7+ 0 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-251954633,-1539114026207] |
[a1,a2,a3,a4,a6] |
Generators |
[672182578621097000671088785407788360384224684916535327051181:-198622577178661150317779337566462602262464433365583942432339849:7444383222990201175532196357636981284852649684081388273] |
Generators of the group modulo torsion |
j |
113206335860721391008219136/11205302283131914685 |
j-invariant |
L |
7.1338984911017 |
L(r)(E,1)/r! |
Ω |
0.037894095627778 |
Real period |
R |
94.129420070819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19565j3 |
Quadratic twists by: 5 |