Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
74700v |
Isogeny class |
Conductor |
74700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
5672531250000 = 24 · 37 · 59 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 6 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-93000,10915625] |
[a1,a2,a3,a4,a6] |
Generators |
[256:1971:1] |
Generators of the group modulo torsion |
j |
3904765952/249 |
j-invariant |
L |
7.5613860764954 |
L(r)(E,1)/r! |
Ω |
0.72089121954351 |
Real period |
R |
3.4963139481314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981077 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24900f1 74700p1 |
Quadratic twists by: -3 5 |