Atkin-Lehner |
2+ 5+ 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
94550a |
Isogeny class |
Conductor |
94550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
-158628577280000000 = -1 · 230 · 57 · 31 · 61 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 4 -1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-928250,-345147500] |
[a1,a2,a3,a4,a6] |
Generators |
[7566300:1118930450:343] |
Generators of the group modulo torsion |
j |
-5661079982367023521/10152228945920 |
j-invariant |
L |
4.1264704727478 |
L(r)(E,1)/r! |
Ω |
0.07689650147854 |
Real period |
R |
6.7078319467369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18910e1 |
Quadratic twists by: 5 |