Atkin-Lehner |
2- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
12992bd |
Isogeny class |
Conductor |
12992 |
Conductor |
∏ cp |
4 |
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 |
[16747932379221:11073350282176:17964142659] |
Generators of the group modulo torsion |
j |
6684374974140996553/2097096248576 |
j-invariant |
L |
5.9047238051449 |
L(r)(E,1)/r! |
Ω |
0.28581849660556 |
Real period |
R |
20.658998193856 |
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 |
12992v2 3248i2 116928dl2 90944ei2 |
Quadratic twists by: -4 8 -3 -7 |