Atkin-Lehner |
2- 3+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
14274n |
Isogeny class |
Conductor |
14274 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-3246592752 = -1 · 24 · 39 · 132 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-434,-4319] |
[a1,a2,a3,a4,a6] |
Generators |
[233:3419:1] |
Generators of the group modulo torsion |
j |
-458314011/164944 |
j-invariant |
L |
7.2488484923272 |
L(r)(E,1)/r! |
Ω |
0.51381754122622 |
Real period |
R |
3.5269565121443 |
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 |
114192bb1 14274b1 |
Quadratic twists by: -4 -3 |