Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686df |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-638096506702406388 = -1 · 22 · 32 · 710 · 137 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -3 13+ -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,194431,-19685667] |
[a1,a2,a3,a4,a6] |
j |
596183/468 |
j-invariant |
L |
2.5667012062036 |
L(r)(E,1)/r! |
Ω |
0.16041882541537 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686bv1 3822p1 |
Quadratic twists by: -7 13 |