Atkin-Lehner |
2- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
22736bk |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-40742912 = -1 · 212 · 73 · 29 |
Discriminant |
Eigenvalues |
2- -1 2 7- 0 2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37,-307] |
[a1,a2,a3,a4,a6] |
j |
-4096/29 |
j-invariant |
L |
1.7128803093192 |
L(r)(E,1)/r! |
Ω |
0.85644015465959 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1421h1 90944dc1 22736bh1 |
Quadratic twists by: -4 8 -7 |