Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
2490k |
Isogeny class |
Conductor |
2490 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
116173440000 = 210 · 37 · 54 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3515,78225] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:385:1] |
Generators of the group modulo torsion |
j |
4802942886669361/116173440000 |
j-invariant |
L |
4.9611147367408 |
L(r)(E,1)/r! |
Ω |
1.048695872074 |
Real period |
R |
0.067582098447249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19920i1 79680c1 7470e1 12450a1 |
Quadratic twists by: -4 8 -3 5 |