Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686bk |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-9158595296917248 = -1 · 28 · 32 · 77 · 136 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-33297,-5167004] |
[a1,a2,a3,a4,a6] |
Generators |
[39055:-502974:125] |
Generators of the group modulo torsion |
j |
-7189057/16128 |
j-invariant |
L |
4.874122191206 |
L(r)(E,1)/r! |
Ω |
0.16531313199766 |
Real period |
R |
7.3710450771635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7098b1 294c1 |
Quadratic twists by: -7 13 |