Atkin-Lehner |
2- 3+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
23700a |
Isogeny class |
Conductor |
23700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
20880 |
Modular degree for the optimal curve |
Δ |
37031250000 = 24 · 3 · 510 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 5 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,162] |
[a1,a2,a3,a4,a6] |
j |
409600/237 |
j-invariant |
L |
2.9233228362484 |
L(r)(E,1)/r! |
Ω |
0.97444094541613 |
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 |
94800db1 71100g1 23700o1 |
Quadratic twists by: -4 -3 5 |