Atkin-Lehner |
2- 3- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
114192bl |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-295815176257536 = -1 · 223 · 36 · 13 · 612 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 2 13+ 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16059,1139434] |
[a1,a2,a3,a4,a6] |
Generators |
[-153:122:1] |
Generators of the group modulo torsion |
j |
-153388121977/99067904 |
j-invariant |
L |
5.4605595809364 |
L(r)(E,1)/r! |
Ω |
0.50502756701356 |
Real period |
R |
2.7030997657384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999791106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14274q1 12688c1 |
Quadratic twists by: -4 -3 |