Atkin-Lehner |
2- 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
118188bj |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
31535859627216 = 24 · 36 · 79 · 67 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 -5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12936,497693] |
[a1,a2,a3,a4,a6] |
Generators |
[2289:2744:27] |
Generators of the group modulo torsion |
j |
174456832/22981 |
j-invariant |
L |
8.3786144850807 |
L(r)(E,1)/r! |
Ω |
0.63439495973732 |
Real period |
R |
3.3018131379442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13132e1 16884m1 |
Quadratic twists by: -3 -7 |