Atkin-Lehner |
2+ 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96330bh |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-8771239526400 = -1 · 214 · 33 · 52 · 133 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-134,-142504] |
[a1,a2,a3,a4,a6] |
Generators |
[66:337:1] |
Generators of the group modulo torsion |
j |
-119823157/3992371200 |
j-invariant |
L |
4.6233232468486 |
L(r)(E,1)/r! |
Ω |
0.33436125564653 |
Real period |
R |
1.1522774552685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011437 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96330dn1 |
Quadratic twists by: 13 |