Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14994j |
Isogeny class |
Conductor |
14994 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-14143780224 = -1 · 27 · 33 · 72 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 3 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1710,28244] |
[a1,a2,a3,a4,a6] |
Generators |
[25:13:1] |
Generators of the group modulo torsion |
j |
-418114329003/10690688 |
j-invariant |
L |
3.5003895254403 |
L(r)(E,1)/r! |
Ω |
1.249729924812 |
Real period |
R |
0.35011459835681 |
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 |
119952dc1 14994bs1 14994c1 |
Quadratic twists by: -4 -3 -7 |