Atkin-Lehner |
2+ 5+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
67150f |
Isogeny class |
Conductor |
67150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2737152 |
Modular degree for the optimal curve |
Δ |
2635463060416000000 = 212 · 56 · 174 · 793 |
Discriminant |
Eigenvalues |
2+ -1 5+ -5 -6 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2228300,1276978000] |
[a1,a2,a3,a4,a6] |
Generators |
[-264:43108:1] |
Generators of the group modulo torsion |
j |
78311397007706818753/168669635866624 |
j-invariant |
L |
1.2347291806698 |
L(r)(E,1)/r! |
Ω |
0.2566147960074 |
Real period |
R |
0.20048356540645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999912463 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2686c1 |
Quadratic twists by: 5 |