Atkin-Lehner |
2+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
30008c |
Isogeny class |
Conductor |
30008 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1094400 |
Modular degree for the optimal curve |
Δ |
-2.2791066012332E+19 |
Discriminant |
Eigenvalues |
2+ -2 -3 5 11- -4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,668848,-91587311] |
[a1,a2,a3,a4,a6] |
j |
1167425747785472/804060162631 |
j-invariant |
L |
0.48438856197132 |
L(r)(E,1)/r! |
Ω |
0.12109714049326 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60016f1 2728e1 |
Quadratic twists by: -4 -11 |