Atkin-Lehner |
2- 3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11730n |
Isogeny class |
Conductor |
11730 |
Conductor |
∏ cp |
1080 |
Product of Tamagawa factors cp |
deg |
3490560 |
Modular degree for the optimal curve |
Δ |
-1.419291197959E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -6 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,27990244,6055958736] |
[a1,a2,a3,a4,a6] |
j |
2425178806255771641576378431/1419291197959038882264000 |
j-invariant |
L |
1.5495702398408 |
L(r)(E,1)/r! |
Ω |
0.051652341328028 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
93840be1 35190y1 58650f1 |
Quadratic twists by: -4 -3 5 |