Atkin-Lehner |
2+ 3+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
23226h |
Isogeny class |
Conductor |
23226 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
16526254796352 = 26 · 34 · 79 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-44811,3627261] |
[a1,a2,a3,a4,a6] |
Generators |
[-225:1656:1] |
Generators of the group modulo torsion |
j |
246609840511/409536 |
j-invariant |
L |
2.5688200012104 |
L(r)(E,1)/r! |
Ω |
0.6950204472906 |
Real period |
R |
1.8480175736012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69678bm1 23226o1 |
Quadratic twists by: -3 -7 |