Atkin-Lehner |
2+ 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37950y |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
93926250000 = 24 · 33 · 57 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ -4 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1251,8398] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:56:1] [62:-444:1] |
Generators of the group modulo torsion |
j |
13841287201/6011280 |
j-invariant |
L |
7.0017235614324 |
L(r)(E,1)/r! |
Ω |
0.96372912508828 |
Real period |
R |
0.60543668159793 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113850fi1 7590u1 |
Quadratic twists by: -3 5 |