Atkin-Lehner |
2+ 3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
14274g |
Isogeny class |
Conductor |
14274 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
7476614161101072 = 24 · 320 · 133 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 4 13+ -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51372,-1654016] |
[a1,a2,a3,a4,a6] |
Generators |
[276:2128:1] |
Generators of the group modulo torsion |
j |
20567445764946625/10255986503568 |
j-invariant |
L |
3.5150260704515 |
L(r)(E,1)/r! |
Ω |
0.33392634444702 |
Real period |
R |
5.2631757405549 |
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 |
114192bn1 4758f1 |
Quadratic twists by: -4 -3 |