Atkin-Lehner |
2+ 7- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
51128a |
Isogeny class |
Conductor |
51128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10624 |
Modular degree for the optimal curve |
Δ |
-7873712 = -1 · 24 · 72 · 112 · 83 |
Discriminant |
Eigenvalues |
2+ 0 4 7- 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2,-135] |
[a1,a2,a3,a4,a6] |
Generators |
[180:2415:1] |
Generators of the group modulo torsion |
j |
55296/492107 |
j-invariant |
L |
8.4091079538687 |
L(r)(E,1)/r! |
Ω |
1.0806309941363 |
Real period |
R |
3.8908323005198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102256a1 |
Quadratic twists by: -4 |