Atkin-Lehner |
2- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
34814r |
Isogeny class |
Conductor |
34814 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-11767132 = -1 · 22 · 134 · 103 |
Discriminant |
Eigenvalues |
2- 2 0 3 2 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-88,-395] |
[a1,a2,a3,a4,a6] |
Generators |
[291:49:27] |
Generators of the group modulo torsion |
j |
-2640625/412 |
j-invariant |
L |
13.72152517518 |
L(r)(E,1)/r! |
Ω |
0.77269536581433 |
Real period |
R |
2.9596668541163 |
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 |
34814i1 |
Quadratic twists by: 13 |