Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050gg |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
7257600 |
Modular degree for the optimal curve |
Δ |
-4.6841516946432E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -3 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4963055,5382131447] |
[a1,a2,a3,a4,a6] |
Generators |
[-2447:54796:1] [-81:76090:1] |
Generators of the group modulo torsion |
j |
-9836106385/3407872 |
j-invariant |
L |
13.704224887964 |
L(r)(E,1)/r! |
Ω |
0.129459559242 |
Real period |
R |
0.24503978680497 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8450k1 76050bx1 5850bb1 |
Quadratic twists by: -3 5 13 |