Atkin-Lehner |
11- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
76109g |
Isogeny class |
Conductor |
76109 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
42840 |
Modular degree for the optimal curve |
Δ |
-322036130141 = -1 · 116 · 173 · 37 |
Discriminant |
Eigenvalues |
-1 0 1 1 11- 2 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1308,20012] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:81:1] |
Generators of the group modulo torsion |
j |
139798359/181781 |
j-invariant |
L |
3.6791902786522 |
L(r)(E,1)/r! |
Ω |
0.64920159807503 |
Real period |
R |
1.8890846290113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
629a1 |
Quadratic twists by: -11 |