Atkin-Lehner |
2- 3+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4512i |
Isogeny class |
Conductor |
4512 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
2054461564145664 = 212 · 37 · 475 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 1 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38877,-1974411] |
[a1,a2,a3,a4,a6] |
j |
1586547827987968/501577530309 |
j-invariant |
L |
0.696925345765 |
L(r)(E,1)/r! |
Ω |
0.3484626728825 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4512g1 9024q1 13536o1 112800ba1 |
Quadratic twists by: -4 8 -3 5 |