Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
63600dn |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
686880000 = 28 · 34 · 54 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 3 -6 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-333,1863] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-30:1] |
Generators of the group modulo torsion |
j |
25600000/4293 |
j-invariant |
L |
7.8425347573078 |
L(r)(E,1)/r! |
Ω |
1.5382441934049 |
Real period |
R |
0.2124319942003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15900a1 63600bj1 |
Quadratic twists by: -4 5 |