Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5100k |
Isogeny class |
Conductor |
5100 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-46473750000 = -1 · 24 · 37 · 57 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 1 2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,742,7113] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:75:1] |
Generators of the group modulo torsion |
j |
180472064/185895 |
j-invariant |
L |
4.2896439971762 |
L(r)(E,1)/r! |
Ω |
0.74915435101164 |
Real period |
R |
0.068166447106146 |
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 |
20400bx1 81600l1 15300w1 1020d1 |
Quadratic twists by: -4 8 -3 5 |