Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37856b |
Isogeny class |
Conductor |
37856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
91392 |
Modular degree for the optimal curve |
Δ |
-224890684928 = -1 · 29 · 7 · 137 |
Discriminant |
Eigenvalues |
2+ 1 -4 7+ -5 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16280,794444] |
[a1,a2,a3,a4,a6] |
Generators |
[95:338:1] |
Generators of the group modulo torsion |
j |
-193100552/91 |
j-invariant |
L |
3.2857335295092 |
L(r)(E,1)/r! |
Ω |
0.97993632771931 |
Real period |
R |
0.83825179161274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37856g1 75712cb1 2912f1 |
Quadratic twists by: -4 8 13 |