Atkin-Lehner |
2- 3- 5+ 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
42090s |
Isogeny class |
Conductor |
42090 |
Conductor |
∏ cp |
198 |
Product of Tamagawa factors cp |
deg |
107712 |
Modular degree for the optimal curve |
Δ |
1413900748800 = 211 · 39 · 52 · 23 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -5 -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3856,71936] |
[a1,a2,a3,a4,a6] |
Generators |
[56:152:1] [-64:272:1] |
Generators of the group modulo torsion |
j |
6340767471859969/1413900748800 |
j-invariant |
L |
13.253795803051 |
L(r)(E,1)/r! |
Ω |
0.80446858126955 |
Real period |
R |
0.083208175185701 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126270v1 |
Quadratic twists by: -3 |