Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296bw |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
354988532523921408 = 212 · 36 · 7 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 2 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-277368,48461616] |
[a1,a2,a3,a4,a6] |
Generators |
[27939:795644:27] |
Generators of the group modulo torsion |
j |
12246522625/1842183 |
j-invariant |
L |
5.5705025028519 |
L(r)(E,1)/r! |
Ω |
0.29020859181287 |
Real period |
R |
4.7987056374403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000144669 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7581f2 6384bb2 |
Quadratic twists by: -4 -19 |