Atkin-Lehner |
2- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
68770o |
Isogeny class |
Conductor |
68770 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
1430784 |
Modular degree for the optimal curve |
Δ |
-169402323359859200 = -1 · 29 · 52 · 132 · 238 |
Discriminant |
Eigenvalues |
2- -3 5+ 2 4 13+ -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22053,-19836963] |
[a1,a2,a3,a4,a6] |
Generators |
[1455:-55744:1] |
Generators of the group modulo torsion |
j |
-15145569/2163200 |
j-invariant |
L |
6.1100169362514 |
L(r)(E,1)/r! |
Ω |
0.1430902301011 |
Real period |
R |
0.39537451895295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996691 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68770t1 |
Quadratic twists by: -23 |