Atkin-Lehner |
2- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3220c |
Isogeny class |
Conductor |
3220 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
35424 |
Modular degree for the optimal curve |
Δ |
-149045750000 = -1 · 24 · 56 · 72 · 233 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -6 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2632810,1643408833] |
[a1,a2,a3,a4,a6] |
j |
-126142795384287538429696/9315359375 |
j-invariant |
L |
2.2814460131206 |
L(r)(E,1)/r! |
Ω |
0.57036150328014 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
12880x1 51520k1 28980e1 16100c1 |
Quadratic twists by: -4 8 -3 5 |