Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416dl |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-36506448994369536 = -1 · 217 · 37 · 73 · 135 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -5 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-371244,87547696] |
[a1,a2,a3,a4,a6] |
Generators |
[-571:10647:1] [-298:13104:1] |
Generators of the group modulo torsion |
j |
-59219479733906/382060497 |
j-invariant |
L |
8.2528666524344 |
L(r)(E,1)/r! |
Ω |
0.36789335143679 |
Real period |
R |
0.093469871773582 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416fp1 6552x1 17472bm1 |
Quadratic twists by: -4 8 -3 |