Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15840o |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-115473600 = -1 · 26 · 38 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,87,-412] |
[a1,a2,a3,a4,a6] |
Generators |
[13:54:1] |
Generators of the group modulo torsion |
j |
1560896/2475 |
j-invariant |
L |
3.8030134126332 |
L(r)(E,1)/r! |
Ω |
0.98650876399656 |
Real period |
R |
0.96375560750884 |
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 |
15840u1 31680bm2 5280m1 79200ef1 |
Quadratic twists by: -4 8 -3 5 |