Atkin-Lehner |
11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
116699d |
Isogeny class |
Conductor |
116699 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2630784 |
Modular degree for the optimal curve |
Δ |
-139344708952637771 = -1 · 11 · 1038 |
Discriminant |
Eigenvalues |
-2 -1 -3 2 11- 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1743412,886792852] |
[a1,a2,a3,a4,a6] |
Generators |
[6764:546363:1] |
Generators of the group modulo torsion |
j |
-490795651072/116699 |
j-invariant |
L |
2.3434507590841 |
L(r)(E,1)/r! |
Ω |
0.31892869810988 |
Real period |
R |
1.8369707219422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000152869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1133a1 |
Quadratic twists by: -103 |