Atkin-Lehner |
2- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
69776i |
Isogeny class |
Conductor |
69776 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-8406094462976 = -1 · 214 · 78 · 89 |
Discriminant |
Eigenvalues |
2- 1 1 7- 6 -4 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5080,-4684] |
[a1,a2,a3,a4,a6] |
Generators |
[380:7546:1] |
Generators of the group modulo torsion |
j |
30080231/17444 |
j-invariant |
L |
8.4495546821528 |
L(r)(E,1)/r! |
Ω |
0.43652306230664 |
Real period |
R |
2.4195613623206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8722e1 9968g1 |
Quadratic twists by: -4 -7 |