Atkin-Lehner |
2- 3- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
76752ch |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
298411776 = 28 · 37 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 1 13- 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-183,466] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:36:1] |
Generators of the group modulo torsion |
j |
3631696/1599 |
j-invariant |
L |
5.788995202922 |
L(r)(E,1)/r! |
Ω |
1.5541537597163 |
Real period |
R |
1.8624267927072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978535 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19188r1 25584w1 |
Quadratic twists by: -4 -3 |