Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
12992v |
Isogeny class |
Conductor |
12992 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
549741198986706944 = 226 · 710 · 29 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- -4 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2511649,-1532520129] |
[a1,a2,a3,a4,a6] |
Generators |
[-910:581:1] |
Generators of the group modulo torsion |
j |
6684374974140996553/2097096248576 |
j-invariant |
L |
2.283344387859 |
L(r)(E,1)/r! |
Ω |
0.11992727900265 |
Real period |
R |
3.8078815876552 |
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 |
12992bd2 406d2 116928ca2 90944cc2 |
Quadratic twists by: -4 8 -3 -7 |