Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312cf |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
420913739970117632 = 232 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 2 -4 7- -6 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-188225,3750881] |
[a1,a2,a3,a4,a6] |
Generators |
[7:1560:1] [439:2352:1] |
Generators of the group modulo torsion |
j |
23912763841/13647872 |
j-invariant |
L |
10.255718821768 |
L(r)(E,1)/r! |
Ω |
0.25592788567841 |
Real period |
R |
20.036344993401 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53312bd1 13328y1 7616h1 |
Quadratic twists by: -4 8 -7 |