Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600cr |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
6082560 |
Modular degree for the optimal curve |
Δ |
-6.3210939647459E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 0 -7 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2026592,38236563188] |
[a1,a2,a3,a4,a6] |
Generators |
[-1702:172800:1] |
Generators of the group modulo torsion |
j |
14382768678616871/9876709319915520 |
j-invariant |
L |
7.4622261245016 |
L(r)(E,1)/r! |
Ω |
0.071143083020292 |
Real period |
R |
1.6389124317459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6450ba1 10320q1 |
Quadratic twists by: -4 5 |