Atkin-Lehner |
7- 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
52577d |
Isogeny class |
Conductor |
52577 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
3660883933 = 76 · 292 · 37 |
Discriminant |
Eigenvalues |
0 1 4 7- -3 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2221,-40932] |
[a1,a2,a3,a4,a6] |
Generators |
[1698:69962:1] |
Generators of the group modulo torsion |
j |
10303307776/31117 |
j-invariant |
L |
8.0260878061659 |
L(r)(E,1)/r! |
Ω |
0.69554457697293 |
Real period |
R |
5.7696430048012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1073a1 |
Quadratic twists by: -7 |