Atkin-Lehner |
2- 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86100t |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
165600 |
Modular degree for the optimal curve |
Δ |
-6812344618800 = -1 · 24 · 3 · 52 · 72 · 415 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 -4 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2627,-113512] |
[a1,a2,a3,a4,a6] |
Generators |
[281208:28700252:27] |
Generators of the group modulo torsion |
j |
5010471649280/17030861547 |
j-invariant |
L |
7.9965030762453 |
L(r)(E,1)/r! |
Ω |
0.38158082595061 |
Real period |
R |
10.47812485527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000359 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86100r1 |
Quadratic twists by: 5 |