Atkin-Lehner |
2- 3- 7- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
32214bg |
Isogeny class |
Conductor |
32214 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
-2191339567872 = -1 · 28 · 313 · 7 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14077,645617] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:983:1] |
Generators of the group modulo torsion |
j |
-308500570976833873/2191339567872 |
j-invariant |
L |
12.249260158354 |
L(r)(E,1)/r! |
Ω |
0.82699090353093 |
Real period |
R |
0.14242157582823 |
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 |
96642bb1 |
Quadratic twists by: -3 |