Atkin-Lehner |
2- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
17864p |
Isogeny class |
Conductor |
17864 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-199886612039856896 = -1 · 28 · 78 · 115 · 292 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 11- 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,142823,5528621] |
[a1,a2,a3,a4,a6] |
Generators |
[95:4466:1] |
Generators of the group modulo torsion |
j |
1258563578645107712/780807078280691 |
j-invariant |
L |
3.1529842491853 |
L(r)(E,1)/r! |
Ω |
0.19641362204254 |
Real period |
R |
0.10032986181142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35728f1 125048ba1 |
Quadratic twists by: -4 -7 |