Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
42320s |
Isogeny class |
Conductor |
42320 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
-43581765721600000 = -1 · 212 · 55 · 237 |
Discriminant |
Eigenvalues |
2- 0 5- 1 2 -2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,59248,-8370896] |
[a1,a2,a3,a4,a6] |
j |
37933056/71875 |
j-invariant |
L |
1.8850108392743 |
L(r)(E,1)/r! |
Ω |
0.18850108393044 |
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 |
2645c1 1840e1 |
Quadratic twists by: -4 -23 |