Atkin-Lehner |
2+ 5+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
57950t |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
261499375000 = 23 · 57 · 193 · 61 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 0 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2400,37000] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:260:1] |
Generators of the group modulo torsion |
j |
97908438529/16735960 |
j-invariant |
L |
4.1290390871458 |
L(r)(E,1)/r! |
Ω |
0.9367993175879 |
Real period |
R |
0.36730021480721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000413 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11590o1 |
Quadratic twists by: 5 |