Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520cp |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-1623628800 = -1 · 210 · 37 · 52 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 5 5 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1092,14024] |
[a1,a2,a3,a4,a6] |
Generators |
[13:45:1] |
Generators of the group modulo torsion |
j |
-192914176/2175 |
j-invariant |
L |
6.2033183907992 |
L(r)(E,1)/r! |
Ω |
1.5060060381076 |
Real period |
R |
1.0297632005042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994812 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83520ga1 5220m1 27840s1 |
Quadratic twists by: -4 8 -3 |