Atkin-Lehner |
2- 3+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
63426v |
Isogeny class |
Conductor |
63426 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
10321920 |
Modular degree for the optimal curve |
Δ |
1.6270478293165E+23 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-60820749,-181559394813] |
[a1,a2,a3,a4,a6] |
Generators |
[-337490187:-807486148:79507] |
Generators of the group modulo torsion |
j |
28035534600833657617/183328572506112 |
j-invariant |
L |
6.4922478668699 |
L(r)(E,1)/r! |
Ω |
0.054082619474208 |
Real period |
R |
7.5026967187602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000204 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2046j1 |
Quadratic twists by: -31 |