Atkin-Lehner |
3- 19+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
17613a |
Isogeny class |
Conductor |
17613 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-69879964862709 = -1 · 311 · 192 · 1033 |
Discriminant |
Eigenvalues |
-1 3- -1 0 -6 -3 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9607,-176722] |
[a1,a2,a3,a4,a6] |
Generators |
[36:445:1] |
Generators of the group modulo torsion |
j |
134524670164919/95857290621 |
j-invariant |
L |
2.2969654057879 |
L(r)(E,1)/r! |
Ω |
0.34710987690066 |
Real period |
R |
0.55145012157184 |
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 |
5871d1 |
Quadratic twists by: -3 |