Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312ch |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
102762143547392 = 220 · 78 · 17 |
Discriminant |
Eigenvalues |
2- -2 0 7- -2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56513,-5166785] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:104:1] [367:4864:1] |
Generators of the group modulo torsion |
j |
647214625/3332 |
j-invariant |
L |
6.9215590544697 |
L(r)(E,1)/r! |
Ω |
0.30973937198589 |
Real period |
R |
11.17319863163 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53312w1 13328u1 7616k1 |
Quadratic twists by: -4 8 -7 |