Atkin-Lehner |
2+ 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
51646i |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-27776916615562016 = -1 · 25 · 713 · 172 · 31 |
Discriminant |
Eigenvalues |
2+ -1 1 7- -4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,53728,6450592] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:466:1] |
Generators of the group modulo torsion |
j |
145789036355591/236099895584 |
j-invariant |
L |
2.3587554369201 |
L(r)(E,1)/r! |
Ω |
0.25546520877289 |
Real period |
R |
2.308294198126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999412 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7378f1 |
Quadratic twists by: -7 |