Atkin-Lehner |
2- 3- 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
63630bg |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
532480 |
Modular degree for the optimal curve |
Δ |
295886419762500 = 22 · 314 · 55 · 72 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 -6 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55778,-4988419] |
[a1,a2,a3,a4,a6] |
Generators |
[62772:1870489:64] |
Generators of the group modulo torsion |
j |
26325564840935641/405879862500 |
j-invariant |
L |
9.6009354866067 |
L(r)(E,1)/r! |
Ω |
0.31094971090668 |
Real period |
R |
7.7190419785086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998245 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210o1 |
Quadratic twists by: -3 |