Atkin-Lehner |
2+ 13+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
14326a |
Isogeny class |
Conductor |
14326 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
70400 |
Modular degree for the optimal curve |
Δ |
16303538221088768 = 222 · 135 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 0 0 0 0 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-211352,36943680] |
[a1,a2,a3,a4,a6] |
Generators |
[-3698:49655:8] |
Generators of the group modulo torsion |
j |
1044104466407550017625/16303538221088768 |
j-invariant |
L |
3.1403847318379 |
L(r)(E,1)/r! |
Ω |
0.39215652909776 |
Real period |
R |
8.0079878793886 |
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 |
114608e1 128934bf1 |
Quadratic twists by: -4 -3 |