Atkin-Lehner |
2- 3- 5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
31020n |
Isogeny class |
Conductor |
31020 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
54720 |
Modular degree for the optimal curve |
Δ |
2665781250000 = 24 · 3 · 510 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11505,464628] |
[a1,a2,a3,a4,a6] |
j |
10526920576024576/166611328125 |
j-invariant |
L |
4.0543832000756 |
L(r)(E,1)/r! |
Ω |
0.8108766400158 |
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 |
124080bj1 93060g1 |
Quadratic twists by: -4 -3 |