Atkin-Lehner |
2- 5+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
58960h |
Isogeny class |
Conductor |
58960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30528 |
Modular degree for the optimal curve |
Δ |
-12344750000 = -1 · 24 · 56 · 11 · 672 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2788,-56913] |
[a1,a2,a3,a4,a6] |
Generators |
[150431978:962032125:1815848] |
Generators of the group modulo torsion |
j |
-149789729931264/771546875 |
j-invariant |
L |
3.9160684718659 |
L(r)(E,1)/r! |
Ω |
0.32840713387461 |
Real period |
R |
11.92443180359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000423 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14740b1 |
Quadratic twists by: -4 |