Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400bj |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1098240 |
Modular degree for the optimal curve |
Δ |
-4.0679151345E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 3 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,403125,-290618750] |
[a1,a2,a3,a4,a6] |
Generators |
[334124496614:79318013744628:5929741] |
Generators of the group modulo torsion |
j |
1987675000/11160261 |
j-invariant |
L |
6.8184576194414 |
L(r)(E,1)/r! |
Ω |
0.10223069070899 |
Real period |
R |
16.67419434456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50400cz1 100800ez1 16800bu1 50400ec1 |
Quadratic twists by: -4 8 -3 5 |