Atkin-Lehner |
2+ 3+ 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
14430j |
Isogeny class |
Conductor |
14430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
249350400 = 28 · 34 · 52 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -6 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-202,724] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:46:1] [-5:43:1] |
Generators of the group modulo torsion |
j |
918613512361/249350400 |
j-invariant |
L |
4.3801122041686 |
L(r)(E,1)/r! |
Ω |
1.6362659573518 |
Real period |
R |
1.3384475135254 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115440cx1 43290bg1 72150cq1 |
Quadratic twists by: -4 -3 5 |