Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600bn |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
2756531250000 = 24 · 36 · 59 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45750,-3765625] |
[a1,a2,a3,a4,a6] |
Generators |
[-42847:3242:343] |
Generators of the group modulo torsion |
j |
464857088/121 |
j-invariant |
L |
4.8342944688421 |
L(r)(E,1)/r! |
Ω |
0.32644390464549 |
Real period |
R |
7.4044796059077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19800t1 4400j1 39600bl1 |
Quadratic twists by: -4 -3 5 |