Atkin-Lehner |
3- 7- 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
119133l |
Isogeny class |
Conductor |
119133 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
163200 |
Modular degree for the optimal curve |
Δ |
718242254163 = 36 · 75 · 312 · 61 |
Discriminant |
Eigenvalues |
1 3- 2 7- -3 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2241,2830] |
[a1,a2,a3,a4,a6] |
Generators |
[138:1450:1] |
Generators of the group modulo torsion |
j |
1707775420177/985243147 |
j-invariant |
L |
7.7617009493368 |
L(r)(E,1)/r! |
Ω |
0.76792906635319 |
Real period |
R |
1.0107315068884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999035661 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13237f1 |
Quadratic twists by: -3 |