Atkin-Lehner |
2- 5+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
30940b |
Isogeny class |
Conductor |
30940 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
1324981861840 = 24 · 5 · 78 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -6 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3988,79557] |
[a1,a2,a3,a4,a6] |
Generators |
[7:228:1] |
Generators of the group modulo torsion |
j |
438398619992064/82811366365 |
j-invariant |
L |
3.3447498255889 |
L(r)(E,1)/r! |
Ω |
0.81494247039942 |
Real period |
R |
4.1042772306977 |
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 |
123760bc1 |
Quadratic twists by: -4 |