Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14994bn |
Isogeny class |
Conductor |
14994 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
43352779309056 = 214 · 33 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -2 -1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13313,-495855] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:324:1] |
Generators of the group modulo torsion |
j |
1676381427/278528 |
j-invariant |
L |
6.7805137618012 |
L(r)(E,1)/r! |
Ω |
0.44947646359396 |
Real period |
R |
0.17958760572417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119952cc1 14994a1 14994br1 |
Quadratic twists by: -4 -3 -7 |