Atkin-Lehner |
2- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
11840bl |
Isogeny class |
Conductor |
11840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
1480000 = 26 · 54 · 37 |
Discriminant |
Eigenvalues |
2- 1 5- 5 3 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-625,-6227] |
[a1,a2,a3,a4,a6] |
j |
422550360064/23125 |
j-invariant |
L |
3.8188541958089 |
L(r)(E,1)/r! |
Ω |
0.95471354895222 |
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 |
11840r1 2960f1 106560fk1 59200ci1 |
Quadratic twists by: -4 8 -3 5 |