Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
47040bw |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-418290566245171200 = -1 · 214 · 311 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 1 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,140859,-23494941] |
[a1,a2,a3,a4,a6] |
j |
3272428544/4428675 |
j-invariant |
L |
3.4990633597152 |
L(r)(E,1)/r! |
Ω |
0.159048334546 |
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 |
47040du1 5880e1 47040ba1 |
Quadratic twists by: -4 8 -7 |