Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
63700q |
Isogeny class |
Conductor |
63700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
762048 |
Modular degree for the optimal curve |
Δ |
11934579270250000 = 24 · 56 · 710 · 132 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- -5 13+ -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60025,-2100875] |
[a1,a2,a3,a4,a6] |
Generators |
[396:6019:1] |
Generators of the group modulo torsion |
j |
338688/169 |
j-invariant |
L |
3.1891224312568 |
L(r)(E,1)/r! |
Ω |
0.32120536019682 |
Real period |
R |
4.9643045020983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2548k1 63700h1 |
Quadratic twists by: 5 -7 |