Atkin-Lehner |
3+ 5- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
14685c |
Isogeny class |
Conductor |
14685 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-32116095 = -1 · 38 · 5 · 11 · 89 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,75,-78] |
[a1,a2,a3,a4,a6] |
Generators |
[26:129:1] |
Generators of the group modulo torsion |
j |
46617130799/32116095 |
j-invariant |
L |
2.0221682414083 |
L(r)(E,1)/r! |
Ω |
1.1768008226881 |
Real period |
R |
3.4367213251759 |
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 |
44055f1 73425j1 |
Quadratic twists by: -3 5 |