Atkin-Lehner |
2+ 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
23450b |
Isogeny class |
Conductor |
23450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2448 |
Modular degree for the optimal curve |
Δ |
23450 = 2 · 52 · 7 · 67 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 1 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11,-12] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:2:1] |
Generators of the group modulo torsion |
j |
5151505/938 |
j-invariant |
L |
2.6376072010501 |
L(r)(E,1)/r! |
Ω |
2.6840992027017 |
Real period |
R |
0.98267873199143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23450q1 |
Quadratic twists by: 5 |