Atkin-Lehner |
2+ 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
23226q |
Isogeny class |
Conductor |
23226 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-8632775872804608 = -1 · 28 · 38 · 77 · 792 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -6 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,26238,-4157996] |
[a1,a2,a3,a4,a6] |
Generators |
[886:2199:8] [188:2631:1] |
Generators of the group modulo torsion |
j |
16980538103927/73377384192 |
j-invariant |
L |
6.1069778850401 |
L(r)(E,1)/r! |
Ω |
0.20860299654904 |
Real period |
R |
0.91486249989048 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69678bk1 3318a1 |
Quadratic twists by: -3 -7 |