Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600v |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-29659500000000 = -1 · 28 · 33 · 59 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 -5 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1167,261963] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:375:1] |
Generators of the group modulo torsion |
j |
351232/59319 |
j-invariant |
L |
4.5735297969239 |
L(r)(E,1)/r! |
Ω |
0.51051282668105 |
Real period |
R |
1.493116188891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7800c1 62400gb1 46800bn1 15600l1 |
Quadratic twists by: -4 8 -3 5 |