Atkin-Lehner |
3- 13- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
64467p |
Isogeny class |
Conductor |
64467 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
99214713 = 36 · 13 · 192 · 29 |
Discriminant |
Eigenvalues |
1 3- 2 -4 4 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25521,-1562896] |
[a1,a2,a3,a4,a6] |
Generators |
[92236329276:-1412650740838:291434247] |
Generators of the group modulo torsion |
j |
2521731355194897/136097 |
j-invariant |
L |
7.1790108237297 |
L(r)(E,1)/r! |
Ω |
0.37772378815052 |
Real period |
R |
19.005980159994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000255 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7163c1 |
Quadratic twists by: -3 |