Atkin-Lehner |
5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63175y |
Isogeny class |
Conductor |
63175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-41165145875 = -1 · 53 · 7 · 196 |
Discriminant |
Eigenvalues |
2 1 5- 7- -3 1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,602,8139] |
[a1,a2,a3,a4,a6] |
j |
4096/7 |
j-invariant |
L |
3.1373426385349 |
L(r)(E,1)/r! |
Ω |
0.78433566025432 |
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 |
63175r1 175a1 |
Quadratic twists by: 5 -19 |