Atkin-Lehner |
2- 3- 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128478cq |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
6144 |
Product of Tamagawa factors cp |
deg |
194052096 |
Modular degree for the optimal curve |
Δ |
-4.0154186426993E+29 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-491225687,30774228503913] |
[a1,a2,a3,a4,a6] |
Generators |
[37078:7952341:1] |
Generators of the group modulo torsion |
j |
-111423982835049208609221217/3413049530977153233911808 |
j-invariant |
L |
16.216198880438 |
L(r)(E,1)/r! |
Ω |
0.025019999395424 |
Real period |
R |
1.687837157222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999837097 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18354t1 |
Quadratic twists by: -7 |