Atkin-Lehner |
2- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
12104b |
Isogeny class |
Conductor |
12104 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1600 |
Modular degree for the optimal curve |
Δ |
-3098624 = -1 · 211 · 17 · 89 |
Discriminant |
Eigenvalues |
2- -1 3 -2 -2 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16,76] |
[a1,a2,a3,a4,a6] |
Generators |
[5:16:1] |
Generators of the group modulo torsion |
j |
207646/1513 |
j-invariant |
L |
4.0671672141046 |
L(r)(E,1)/r! |
Ω |
1.8400984889108 |
Real period |
R |
2.2102986544552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24208b1 96832f1 108936g1 |
Quadratic twists by: -4 8 -3 |