Atkin-Lehner |
2- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
34790bd |
Isogeny class |
Conductor |
34790 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-4987494400000 = -1 · 216 · 55 · 73 · 71 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 3 0 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2435,-96783] |
[a1,a2,a3,a4,a6] |
Generators |
[74:663:1] |
Generators of the group modulo torsion |
j |
4654953440873/14540800000 |
j-invariant |
L |
6.710730060923 |
L(r)(E,1)/r! |
Ω |
0.39288437421384 |
Real period |
R |
0.10675421481115 |
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 |
34790s1 |
Quadratic twists by: -7 |