Atkin-Lehner |
2+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
5512c |
Isogeny class |
Conductor |
5512 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
704 |
Modular degree for the optimal curve |
Δ |
584272 = 24 · 13 · 532 |
Discriminant |
Eigenvalues |
2+ 0 -4 4 0 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22,-15] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:3:1] |
Generators of the group modulo torsion |
j |
73598976/36517 |
j-invariant |
L |
3.2301681918177 |
L(r)(E,1)/r! |
Ω |
2.3199677255189 |
Real period |
R |
1.392333245108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11024c1 44096b1 49608r1 71656h1 |
Quadratic twists by: -4 8 -3 13 |