Atkin-Lehner |
2+ 11- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
119306d |
Isogeny class |
Conductor |
119306 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-223585170688 = -1 · 28 · 116 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 0 -2 1 11- 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-83,-22731] |
[a1,a2,a3,a4,a6] |
Generators |
[69:510:1] |
Generators of the group modulo torsion |
j |
-35937/126208 |
j-invariant |
L |
3.7553752875292 |
L(r)(E,1)/r! |
Ω |
0.45140259707262 |
Real period |
R |
2.0798369877584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
986f1 |
Quadratic twists by: -11 |