Atkin-Lehner |
2+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
50864x |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-940780544 = -1 · 210 · 11 · 174 |
Discriminant |
Eigenvalues |
2+ -1 -1 2 11- -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96,1552] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-34:1] |
Generators of the group modulo torsion |
j |
-1156/11 |
j-invariant |
L |
4.7653432054257 |
L(r)(E,1)/r! |
Ω |
1.3401579805445 |
Real period |
R |
0.29631725479482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999786 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25432f1 50864d1 |
Quadratic twists by: -4 17 |