Atkin-Lehner |
2+ 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2990d |
Isogeny class |
Conductor |
2990 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
149500 = 22 · 53 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 0 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-278,1756] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:57:1] |
Generators of the group modulo torsion |
j |
2363798675161/149500 |
j-invariant |
L |
2.9670324501601 |
L(r)(E,1)/r! |
Ω |
3.0859025943658 |
Real period |
R |
1.4422194282367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
23920u1 95680c1 26910bg1 14950x1 |
Quadratic twists by: -4 8 -3 5 |