Atkin-Lehner |
2- 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720bw |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
78566400 |
Modular degree for the optimal curve |
Δ |
1.2005327920719E+30 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2712692720,13354066786752] |
[a1,a2,a3,a4,a6] |
Generators |
[115593233384:25412210819072:1442897] |
Generators of the group modulo torsion |
j |
538971213337107320355935687281/293098826189439777893253120 |
j-invariant |
L |
5.9116000227065 |
L(r)(E,1)/r! |
Ω |
0.023838707784228 |
Real period |
R |
8.2661080407522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999689 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7590x1 |
Quadratic twists by: -4 |