Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
63700g |
Isogeny class |
Conductor |
63700 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
87696 |
Modular degree for the optimal curve |
Δ |
-479631443200 = -1 · 28 · 52 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 5 13- -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,572,32712] |
[a1,a2,a3,a4,a6] |
Generators |
[33:294:1] |
Generators of the group modulo torsion |
j |
560/13 |
j-invariant |
L |
9.9302039023225 |
L(r)(E,1)/r! |
Ω |
0.69964214387665 |
Real period |
R |
1.5770290551401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63700bf1 63700o1 |
Quadratic twists by: 5 -7 |