Atkin-Lehner |
2- 5+ 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
14030d |
Isogeny class |
Conductor |
14030 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3216 |
Modular degree for the optimal curve |
Δ |
-322690 = -1 · 2 · 5 · 232 · 61 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 0 -1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-96,323] |
[a1,a2,a3,a4,a6] |
j |
-97908438529/322690 |
j-invariant |
L |
6.1279364732003 |
L(r)(E,1)/r! |
Ω |
3.0639682366001 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112240d1 126270r1 70150a1 |
Quadratic twists by: -4 -3 5 |