Atkin-Lehner |
2- 3- 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67650cr |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
750 |
Product of Tamagawa factors cp |
deg |
1080000 |
Modular degree for the optimal curve |
Δ |
319410930040012800 = 215 · 310 · 52 · 115 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-256353,41888457] |
[a1,a2,a3,a4,a6] |
Generators |
[-564:2955:1] |
Generators of the group modulo torsion |
j |
74524491583501708345/12776437201600512 |
j-invariant |
L |
12.528433887966 |
L(r)(E,1)/r! |
Ω |
0.2913100656816 |
Real period |
R |
1.433573748817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000117 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
67650u2 |
Quadratic twists by: 5 |