Atkin-Lehner |
2- 3+ 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56550bj |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
1310400 |
Modular degree for the optimal curve |
Δ |
-2997106193203200 = -1 · 225 · 36 · 52 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3682763,-2721785479] |
[a1,a2,a3,a4,a6] |
Generators |
[5331:-362090:1] |
Generators of the group modulo torsion |
j |
-220955605859850917265625/119884247728128 |
j-invariant |
L |
8.5551575252636 |
L(r)(E,1)/r! |
Ω |
0.054491166054368 |
Real period |
R |
1.5700081581367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56550z1 |
Quadratic twists by: 5 |