Atkin-Lehner |
2- 3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720cw |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
782371242639360 = 236 · 32 · 5 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25640,-836940] |
[a1,a2,a3,a4,a6] |
Generators |
[16612:203019:64] |
Generators of the group modulo torsion |
j |
455129268177961/191008604160 |
j-invariant |
L |
6.3124875878664 |
L(r)(E,1)/r! |
Ω |
0.39165079522811 |
Real period |
R |
8.0588213591405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7590g1 |
Quadratic twists by: -4 |