Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
42320ba |
Isogeny class |
Conductor |
42320 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-6229504000 = -1 · 212 · 53 · 233 |
Discriminant |
Eigenvalues |
2- 2 5- 3 6 4 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-245,4157] |
[a1,a2,a3,a4,a6] |
j |
-32768/125 |
j-invariant |
L |
7.0282606011487 |
L(r)(E,1)/r! |
Ω |
1.1713767668533 |
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 |
2645b1 42320o1 |
Quadratic twists by: -4 -23 |