Atkin-Lehner |
2- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5278g |
Isogeny class |
Conductor |
5278 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
648 |
Modular degree for the optimal curve |
Δ |
-1034488 = -1 · 23 · 73 · 13 · 29 |
Discriminant |
Eigenvalues |
2- -2 0 7- 0 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7,49] |
[a1,a2,a3,a4,a6] |
j |
37595375/1034488 |
j-invariant |
L |
2.0820400001861 |
L(r)(E,1)/r! |
Ω |
2.0820400001861 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
42224i1 47502v1 36946p1 68614b1 |
Quadratic twists by: -4 -3 -7 13 |