Atkin-Lehner |
2+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68800u |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-4727899999436800 = -1 · 242 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 5 7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2622273,1633554463] |
[a1,a2,a3,a4,a6] |
Generators |
[717:11068:1] |
Generators of the group modulo torsion |
j |
-304282977309754105/721420288 |
j-invariant |
L |
4.0923152798666 |
L(r)(E,1)/r! |
Ω |
0.37499844142311 |
Real period |
R |
5.4564430509892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000481 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800dn1 2150n1 68800cl1 |
Quadratic twists by: -4 8 5 |