Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15312ba |
Isogeny class |
Conductor |
15312 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
-68744962953216 = -1 · 212 · 314 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5544,-431244] |
[a1,a2,a3,a4,a6] |
Generators |
[180:2106:1] |
Generators of the group modulo torsion |
j |
-4601630708137/16783438221 |
j-invariant |
L |
5.7771175514483 |
L(r)(E,1)/r! |
Ω |
0.25350951490875 |
Real period |
R |
1.627754499958 |
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 |
957a2 61248bi2 45936bi2 |
Quadratic twists by: -4 8 -3 |