Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800bh |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
21323250000 = 24 · 38 · 56 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -2 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-750,-3625] |
[a1,a2,a3,a4,a6] |
Generators |
[31:54:1] |
Generators of the group modulo torsion |
j |
256000/117 |
j-invariant |
L |
4.1005311594492 |
L(r)(E,1)/r! |
Ω |
0.95272170491106 |
Real period |
R |
2.1520088911116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23400t1 15600j1 1872d1 |
Quadratic twists by: -4 -3 5 |