Atkin-Lehner |
2- 3- 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
116688bd |
Isogeny class |
Conductor |
116688 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-4634421682176 = -1 · 213 · 34 · 11 · 133 · 172 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 11- 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3600,-60588] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-408:1] |
Generators of the group modulo torsion |
j |
1259362112399/1131450606 |
j-invariant |
L |
8.8294126127156 |
L(r)(E,1)/r! |
Ω |
0.42425607361344 |
Real period |
R |
0.65035991698497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999757812 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14586i1 |
Quadratic twists by: -4 |