Atkin-Lehner |
3- 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
14697b |
Isogeny class |
Conductor |
14697 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-2640220999665687 = -1 · 316 · 233 · 712 |
Discriminant |
Eigenvalues |
-1 3- 4 2 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49478,4917044] |
[a1,a2,a3,a4,a6] |
Generators |
[-186:2860:1] |
Generators of the group modulo torsion |
j |
-18374873741826841/3621702331503 |
j-invariant |
L |
4.1646319308022 |
L(r)(E,1)/r! |
Ω |
0.4367024151408 |
Real period |
R |
4.7682721533146 |
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 |
4899c1 |
Quadratic twists by: -3 |