Atkin-Lehner |
2+ 3+ 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
14430i |
Isogeny class |
Conductor |
14430 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
117056160000 = 28 · 32 · 54 · 133 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -2 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1293,-7587] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:78:1] [-22:115:1] |
Generators of the group modulo torsion |
j |
239355822010969/117056160000 |
j-invariant |
L |
3.8957984056069 |
L(r)(E,1)/r! |
Ω |
0.83650480892417 |
Real period |
R |
0.77620562050653 |
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 |
115440cu1 43290cf1 72150ci1 |
Quadratic twists by: -4 -3 5 |