Atkin-Lehner |
2- 3+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
23226u |
Isogeny class |
Conductor |
23226 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
66048 |
Modular degree for the optimal curve |
Δ |
-78913400832 = -1 · 212 · 32 · 73 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 4 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11796,-498219] |
[a1,a2,a3,a4,a6] |
j |
-529219922424103/230068224 |
j-invariant |
L |
5.4971247528553 |
L(r)(E,1)/r! |
Ω |
0.22904686470231 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69678p1 23226y1 |
Quadratic twists by: -3 -7 |