Atkin-Lehner |
2+ 3- 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
93450bc |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
3005001562500000000 = 28 · 32 · 514 · 74 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1085001,426843148] |
[a1,a2,a3,a4,a6] |
Generators |
[-914:187953:8] |
Generators of the group modulo torsion |
j |
9040522389540969601/192320100000000 |
j-invariant |
L |
6.0336838063802 |
L(r)(E,1)/r! |
Ω |
0.25322706260115 |
Real period |
R |
2.9783960248074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999890297 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18690m1 |
Quadratic twists by: 5 |