Atkin-Lehner |
2- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63296y |
Isogeny class |
Conductor |
63296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-8495445311488 = -1 · 233 · 23 · 43 |
Discriminant |
Eigenvalues |
2- -2 0 -2 0 4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5953,-227649] |
[a1,a2,a3,a4,a6] |
Generators |
[101:460:1] [751:20480:1] |
Generators of the group modulo torsion |
j |
-89015244625/32407552 |
j-invariant |
L |
7.1090308658966 |
L(r)(E,1)/r! |
Ω |
0.26689315273093 |
Real period |
R |
6.6590607450538 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63296f1 15824k1 |
Quadratic twists by: -4 8 |