Atkin-Lehner |
2- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
69776w |
Isogeny class |
Conductor |
69776 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-33624377851904 = -1 · 216 · 78 · 89 |
Discriminant |
Eigenvalues |
2- -3 3 7- 0 6 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-931,279202] |
[a1,a2,a3,a4,a6] |
Generators |
[63:686:1] |
Generators of the group modulo torsion |
j |
-185193/69776 |
j-invariant |
L |
5.0525647643828 |
L(r)(E,1)/r! |
Ω |
0.53200961069191 |
Real period |
R |
1.1871413280131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967591 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8722l1 9968q1 |
Quadratic twists by: -4 -7 |