Atkin-Lehner |
2- 3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60270bs |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
1111359513600 = 210 · 32 · 52 · 76 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2990,-37500] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:166:1] |
Generators of the group modulo torsion |
j |
25128011089/9446400 |
j-invariant |
L |
12.383695300559 |
L(r)(E,1)/r! |
Ω |
0.66624683446023 |
Real period |
R |
0.92936241192041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000318 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1230e1 |
Quadratic twists by: -7 |