Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11830s |
Isogeny class |
Conductor |
11830 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
1.039240938554E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3657868,2689157007] |
[a1,a2,a3,a4,a6] |
j |
510408052788213/980000000 |
j-invariant |
L |
1.8296415622288 |
L(r)(E,1)/r! |
Ω |
0.22870519527861 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94640bz1 106470dc1 59150e1 82810cs1 |
Quadratic twists by: -4 -3 5 -7 |