Atkin-Lehner |
2+ 3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
10458l |
Isogeny class |
Conductor |
10458 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-823379256 = -1 · 23 · 311 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -1 2 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-126,1516] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:41:1] |
Generators of the group modulo torsion |
j |
-304821217/1129464 |
j-invariant |
L |
2.4057959738462 |
L(r)(E,1)/r! |
Ω |
1.3876709532047 |
Real period |
R |
0.43342335016276 |
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 |
83664cb1 3486f1 73206k1 |
Quadratic twists by: -4 -3 -7 |