Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45864c |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-306819035136432 = -1 · 24 · 39 · 78 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39690,3158001] |
[a1,a2,a3,a4,a6] |
Generators |
[112:-343:1] |
Generators of the group modulo torsion |
j |
-186624000/8281 |
j-invariant |
L |
6.2854245939996 |
L(r)(E,1)/r! |
Ω |
0.53989170521567 |
Real period |
R |
1.4552512414273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999815 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91728e1 45864ba1 6552b1 |
Quadratic twists by: -4 -3 -7 |