Atkin-Lehner |
2- 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87984bd |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-98519556096 = -1 · 213 · 39 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- -3 5 -2 13+ -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,861,11554] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:72:1] |
Generators of the group modulo torsion |
j |
23639903/32994 |
j-invariant |
L |
5.3795606723756 |
L(r)(E,1)/r! |
Ω |
0.72005775896593 |
Real period |
R |
0.9338765881926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001193 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10998h1 29328s1 |
Quadratic twists by: -4 -3 |