Atkin-Lehner |
2- 3- 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67650cr |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
896075304609375000 = 23 · 32 · 510 · 11 · 415 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-45087513,-116532349983] |
[a1,a2,a3,a4,a6] |
Generators |
[-484680:250803:125] |
Generators of the group modulo torsion |
j |
1037988426070385784025/91758111192 |
j-invariant |
L |
12.528433887966 |
L(r)(E,1)/r! |
Ω |
0.05826201313632 |
Real period |
R |
7.1678687440849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000117 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67650u1 |
Quadratic twists by: 5 |