Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600p |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-1606362035200 = -1 · 210 · 52 · 137 |
Discriminant |
Eigenvalues |
2+ 2 5+ -3 3 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1408,64752] |
[a1,a2,a3,a4,a6] |
Generators |
[438:9126:1] |
Generators of the group modulo torsion |
j |
-2500/13 |
j-invariant |
L |
8.3990540680923 |
L(r)(E,1)/r! |
Ω |
0.73135893015159 |
Real period |
R |
2.8710437931625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000178 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33800v1 67600ba1 5200c1 |
Quadratic twists by: -4 5 13 |