Atkin-Lehner |
5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
51425ba |
Isogeny class |
Conductor |
51425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-8282047675 = -1 · 52 · 117 · 17 |
Discriminant |
Eigenvalues |
-2 2 5+ 3 11- 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-54248,-4845182] |
[a1,a2,a3,a4,a6] |
Generators |
[114404706484:2826627274699:163667323] |
Generators of the group modulo torsion |
j |
-398645432320/187 |
j-invariant |
L |
5.2980886404524 |
L(r)(E,1)/r! |
Ω |
0.15641303635297 |
Real period |
R |
16.93621185288 |
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 |
51425bj1 4675f1 |
Quadratic twists by: 5 -11 |