Atkin-Lehner |
3+ 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
123981j |
Isogeny class |
Conductor |
123981 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3760128 |
Modular degree for the optimal curve |
Δ |
-6891691325466412179 = -1 · 312 · 11 · 132 · 178 |
Discriminant |
Eigenvalues |
2 3+ 3 0 11- 13- 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,473286,-15872857] |
[a1,a2,a3,a4,a6] |
j |
1680747204608/987948819 |
j-invariant |
L |
6.6670822138116 |
L(r)(E,1)/r! |
Ω |
0.13889757377809 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123981q1 |
Quadratic twists by: 17 |