Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
103200cg |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-73273651200 = -1 · 212 · 32 · 52 · 433 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 3 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-413,-13557] |
[a1,a2,a3,a4,a6] |
Generators |
[903:2852:27] |
Generators of the group modulo torsion |
j |
-76264960/715563 |
j-invariant |
L |
9.4131247609187 |
L(r)(E,1)/r! |
Ω |
0.46236051475068 |
Real period |
R |
5.0897105490503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003564 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103200e1 103200l1 |
Quadratic twists by: -4 5 |