Atkin-Lehner |
3- 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
14697b |
Isogeny class |
Conductor |
14697 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1861912067636493 = 311 · 236 · 71 |
Discriminant |
Eigenvalues |
-1 3- 4 2 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-825863,289073954] |
[a1,a2,a3,a4,a6] |
Generators |
[235545:9085763:125] |
Generators of the group modulo torsion |
j |
85451505610852693801/2554063192917 |
j-invariant |
L |
4.1646319308022 |
L(r)(E,1)/r! |
Ω |
0.4367024151408 |
Real period |
R |
9.5365443066291 |
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 |
4899c2 |
Quadratic twists by: -3 |