Atkin-Lehner |
2- 5+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
57850s |
Isogeny class |
Conductor |
57850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
94006250000 = 24 · 58 · 132 · 89 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 0 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-195813,33269531] |
[a1,a2,a3,a4,a6] |
Generators |
[16500:-3407:64] |
Generators of the group modulo torsion |
j |
53140836723628681/6016400 |
j-invariant |
L |
14.809864651704 |
L(r)(E,1)/r! |
Ω |
0.82723222266001 |
Real period |
R |
2.2378638437222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11570c1 |
Quadratic twists by: 5 |