Atkin-Lehner |
2- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
22736bo |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
102816 |
Modular degree for the optimal curve |
Δ |
1763657945052416 = 28 · 710 · 293 |
Discriminant |
Eigenvalues |
2- -2 3 7- 0 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-70429,-6928041] |
[a1,a2,a3,a4,a6] |
j |
534274048/24389 |
j-invariant |
L |
1.763347309834 |
L(r)(E,1)/r! |
Ω |
0.29389121830566 |
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 |
5684k1 90944dh1 22736s1 |
Quadratic twists by: -4 8 -7 |