Atkin-Lehner |
2+ 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
43610h |
Isogeny class |
Conductor |
43610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
51306728900 = 22 · 52 · 78 · 89 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4288,-109332] |
[a1,a2,a3,a4,a6] |
Generators |
[846:24126:1] |
Generators of the group modulo torsion |
j |
74140932601/436100 |
j-invariant |
L |
5.3023046588709 |
L(r)(E,1)/r! |
Ω |
0.59016917172561 |
Real period |
R |
4.4921904708901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999871 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6230e1 |
Quadratic twists by: -7 |