Atkin-Lehner |
2+ 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
6864h |
Isogeny class |
Conductor |
6864 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1488519316297728 = -1 · 211 · 34 · 11 · 138 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,28496,142580] |
[a1,a2,a3,a4,a6] |
Generators |
[44:1218:1] |
Generators of the group modulo torsion |
j |
1249482637192606/726816072411 |
j-invariant |
L |
4.320854245638 |
L(r)(E,1)/r! |
Ω |
0.28800458133343 |
Real period |
R |
3.7506818690461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3432g6 27456br5 20592n6 75504r5 |
Quadratic twists by: -4 8 -3 -11 |