Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
63600bz |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
3907584000000000 = 222 · 32 · 59 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68008,-6105488] |
[a1,a2,a3,a4,a6] |
Generators |
[298:54:1] |
Generators of the group modulo torsion |
j |
543538277281/61056000 |
j-invariant |
L |
5.7832571829348 |
L(r)(E,1)/r! |
Ω |
0.29779661415257 |
Real period |
R |
4.8550394029253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997594 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7950u1 12720bg1 |
Quadratic twists by: -4 5 |