Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11840w |
Isogeny class |
Conductor |
11840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
5920000000000 = 214 · 510 · 37 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 -3 0 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6661,171235] |
[a1,a2,a3,a4,a6] |
j |
1995203838976/361328125 |
j-invariant |
L |
1.4412906023945 |
L(r)(E,1)/r! |
Ω |
0.72064530119724 |
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 |
11840b1 2960b1 106560fp1 59200cw1 |
Quadratic twists by: -4 8 -3 5 |