Atkin-Lehner |
2- 5+ 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
14030c |
Isogeny class |
Conductor |
14030 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
33840 |
Modular degree for the optimal curve |
Δ |
-2016812500000 = -1 · 25 · 59 · 232 · 61 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 0 3 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2104,-56471] |
[a1,a2,a3,a4,a6] |
Generators |
[23:57:1] |
Generators of the group modulo torsion |
j |
1030025597542271/2016812500000 |
j-invariant |
L |
8.5811855410235 |
L(r)(E,1)/r! |
Ω |
0.43234643178756 |
Real period |
R |
1.9847938852055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112240i1 126270w1 70150f1 |
Quadratic twists by: -4 -3 5 |