Atkin-Lehner |
2+ 3- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
56610b |
Isogeny class |
Conductor |
56610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
234772992000 = 212 · 36 · 53 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14550,-671500] |
[a1,a2,a3,a4,a6] |
Generators |
[-562:407:8] |
Generators of the group modulo torsion |
j |
467306641512801/322048000 |
j-invariant |
L |
3.0178715750391 |
L(r)(E,1)/r! |
Ω |
0.43471074285945 |
Real period |
R |
3.4711260585489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000325 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6290h1 |
Quadratic twists by: -3 |