Atkin-Lehner |
3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
1131a |
Isogeny class |
Conductor |
1131 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-132327 = -1 · 33 · 132 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 0 0 -4 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,12,12] |
[a1,a2,a3,a4,a6] |
Generators |
[0:3:1] |
Generators of the group modulo torsion |
j |
190109375/132327 |
j-invariant |
L |
1.4370880197726 |
L(r)(E,1)/r! |
Ω |
2.0784572938202 |
Real period |
R |
1.3828410369994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18096ba1 72384bi1 3393e1 28275g1 |
Quadratic twists by: -4 8 -3 5 |