Atkin-Lehner |
2+ 3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4278f |
Isogeny class |
Conductor |
4278 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-31879656 = -1 · 23 · 35 · 232 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 1 -4 1 1 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-328,2270] |
[a1,a2,a3,a4,a6] |
Generators |
[16:26:1] |
Generators of the group modulo torsion |
j |
-3885442650361/31879656 |
j-invariant |
L |
3.1438779890996 |
L(r)(E,1)/r! |
Ω |
2.0917424362041 |
Real period |
R |
0.15029947926117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34224v1 12834i1 106950bl1 98394s1 |
Quadratic twists by: -4 -3 5 -23 |