Atkin-Lehner |
2- 7+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
14924a |
Isogeny class |
Conductor |
14924 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4416 |
Modular degree for the optimal curve |
Δ |
-39160576 = -1 · 28 · 7 · 13 · 412 |
Discriminant |
Eigenvalues |
2- -2 -3 7+ -2 13+ -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,83,111] |
[a1,a2,a3,a4,a6] |
Generators |
[2:17:1] [17:82:1] |
Generators of the group modulo torsion |
j |
244047872/152971 |
j-invariant |
L |
4.1162435912753 |
L(r)(E,1)/r! |
Ω |
1.2684086377499 |
Real period |
R |
0.54086717649827 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59696r1 104468bb1 |
Quadratic twists by: -4 -7 |