Atkin-Lehner |
2- 3- 5+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
118170x |
Isogeny class |
Conductor |
118170 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1150464 |
Modular degree for the optimal curve |
Δ |
-6729337180800 = -1 · 27 · 36 · 52 · 134 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -6 13- 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-110858,14235081] |
[a1,a2,a3,a4,a6] |
Generators |
[195:-163:1] [-247:5271:1] |
Generators of the group modulo torsion |
j |
-206677704154610521/9230915200 |
j-invariant |
L |
13.877635910881 |
L(r)(E,1)/r! |
Ω |
0.70474797508928 |
Real period |
R |
0.1758181191447 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003129 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13130e1 |
Quadratic twists by: -3 |