Atkin-Lehner |
2- 3+ 7- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
23142z |
Isogeny class |
Conductor |
23142 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
19712 |
Modular degree for the optimal curve |
Δ |
-5497798656 = -1 · 214 · 3 · 7 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1229,16451] |
[a1,a2,a3,a4,a6] |
Generators |
[17:20:1] |
Generators of the group modulo torsion |
j |
-205305907672657/5497798656 |
j-invariant |
L |
5.7253834973694 |
L(r)(E,1)/r! |
Ω |
1.3514288432337 |
Real period |
R |
0.60522012112642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69426u1 |
Quadratic twists by: -3 |