Atkin-Lehner |
2- 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62530t |
Isogeny class |
Conductor |
62530 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
-1785919330 = -1 · 2 · 5 · 136 · 37 |
Discriminant |
Eigenvalues |
2- -2 5- 1 -3 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9045,330355] |
[a1,a2,a3,a4,a6] |
Generators |
[3444:-877:64] |
Generators of the group modulo torsion |
j |
-16954786009/370 |
j-invariant |
L |
7.1456204237926 |
L(r)(E,1)/r! |
Ω |
1.374432483939 |
Real period |
R |
2.5994803336157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
370c3 |
Quadratic twists by: 13 |