Atkin-Lehner |
2+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
11840q |
Isogeny class |
Conductor |
11840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
59200 = 26 · 52 · 37 |
Discriminant |
Eigenvalues |
2+ -1 5- 3 -1 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15,25] |
[a1,a2,a3,a4,a6] |
Generators |
[0:5:1] |
Generators of the group modulo torsion |
j |
6229504/925 |
j-invariant |
L |
4.2913135726883 |
L(r)(E,1)/r! |
Ω |
3.3708599957328 |
Real period |
R |
0.63653097104606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11840p1 5920a1 106560by1 59200e1 |
Quadratic twists by: -4 8 -3 5 |