Atkin-Lehner |
2- 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
104076h |
Isogeny class |
Conductor |
104076 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
-8190390718684355328 = -1 · 28 · 313 · 78 · 592 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -2 -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32928,-137673340] |
[a1,a2,a3,a4,a6] |
Generators |
[508:3186:1] [637:11907:1] |
Generators of the group modulo torsion |
j |
3670016/7612947 |
j-invariant |
L |
8.3790298583485 |
L(r)(E,1)/r! |
Ω |
0.1082291356038 |
Real period |
R |
1.0752688179233 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994607 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34692d1 104076p1 |
Quadratic twists by: -3 -7 |