Atkin-Lehner |
2+ 3+ 5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
38130i |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
34340463219240 = 23 · 312 · 5 · 312 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -6 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-358142,-82644564] |
[a1,a2,a3,a4,a6] |
Generators |
[8585:-797809:1] |
Generators of the group modulo torsion |
j |
5080323532135375993321/34340463219240 |
j-invariant |
L |
2.2643913896926 |
L(r)(E,1)/r! |
Ω |
0.1951577306121 |
Real period |
R |
5.8014391297501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114390bo2 |
Quadratic twists by: -3 |