Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4410f |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-6051657497760 = -1 · 25 · 38 · 5 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 1 7 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15885,783621] |
[a1,a2,a3,a4,a6] |
j |
-105484561/1440 |
j-invariant |
L |
1.5164292997104 |
L(r)(E,1)/r! |
Ω |
0.75821464985518 |
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 |
35280dr1 1470r1 22050dq1 4410p1 |
Quadratic twists by: -4 -3 5 -7 |