Atkin-Lehner |
2- 3+ 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56550bg |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
5142528 |
Modular degree for the optimal curve |
Δ |
42092391656250000 = 24 · 36 · 59 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-104270713,409775119031] |
[a1,a2,a3,a4,a6] |
j |
8023996232564328604273609/2693913066000 |
j-invariant |
L |
3.4555784744177 |
L(r)(E,1)/r! |
Ω |
0.21597365470374 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11310e1 |
Quadratic twists by: 5 |