Atkin-Lehner |
2- 7+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
15106d |
Isogeny class |
Conductor |
15106 |
Conductor |
∏ cp |
92 |
Product of Tamagawa factors cp |
deg |
79488 |
Modular degree for the optimal curve |
Δ |
-139200066224128 = -1 · 223 · 7 · 134 · 83 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ -3 13- -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-45584,3784960] |
[a1,a2,a3,a4,a6] |
Generators |
[-224:1776:1] [32:1520:1] |
Generators of the group modulo torsion |
j |
-10475182626204231937/139200066224128 |
j-invariant |
L |
6.429120149423 |
L(r)(E,1)/r! |
Ω |
0.58395322264954 |
Real period |
R |
0.11967010035074 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120848k1 105742g1 |
Quadratic twists by: -4 -7 |