Atkin-Lehner |
2- 31- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
3658c |
Isogeny class |
Conductor |
3658 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-26547832576 = -1 · 28 · 313 · 592 |
Discriminant |
Eigenvalues |
2- 2 -2 0 -4 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,306,7691] |
[a1,a2,a3,a4,a6] |
Generators |
[3:91:1] |
Generators of the group modulo torsion |
j |
3168102940703/26547832576 |
j-invariant |
L |
5.9911881225863 |
L(r)(E,1)/r! |
Ω |
0.868789703481 |
Real period |
R |
0.57466804093301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29264g1 117056j1 32922d1 91450f1 |
Quadratic twists by: -4 8 -3 5 |