Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14994b |
Isogeny class |
Conductor |
14994 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
3213604044 = 22 · 39 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ -2 3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7359,244817] |
[a1,a2,a3,a4,a6] |
Generators |
[52:1:1] |
Generators of the group modulo torsion |
j |
932673987/68 |
j-invariant |
L |
3.818632112418 |
L(r)(E,1)/r! |
Ω |
1.3482099129327 |
Real period |
R |
0.70809301945265 |
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 |
119952bu1 14994bm1 14994i1 |
Quadratic twists by: -4 -3 -7 |