Atkin-Lehner |
3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3465f |
Isogeny class |
Conductor |
3465 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-1867825575 = -1 · 36 · 52 · 7 · 114 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11+ -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-330,-3025] |
[a1,a2,a3,a4,a6] |
j |
-5461074081/2562175 |
j-invariant |
L |
1.0953207948003 |
L(r)(E,1)/r! |
Ω |
0.54766039740015 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440dt1 385a1 17325z1 24255bn1 |
Quadratic twists by: -4 -3 5 -7 |