Atkin-Lehner |
2+ 5- 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
63550j |
Isogeny class |
Conductor |
63550 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
146400 |
Modular degree for the optimal curve |
Δ |
1467243988750 = 2 · 54 · 315 · 41 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 -3 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31251,-2128152] |
[a1,a2,a3,a4,a6] |
Generators |
[216:992:1] [-6636:3813:64] |
Generators of the group modulo torsion |
j |
5400270004500025/2347590382 |
j-invariant |
L |
7.7378826516019 |
L(r)(E,1)/r! |
Ω |
0.35908442681102 |
Real period |
R |
4.3097845931936 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999645 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63550y2 |
Quadratic twists by: 5 |