Atkin-Lehner |
2+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
3776g |
Isogeny class |
Conductor |
3776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-61865984 = -1 · 220 · 59 |
Discriminant |
Eigenvalues |
2+ 1 3 -1 2 2 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,31,383] |
[a1,a2,a3,a4,a6] |
j |
12167/236 |
j-invariant |
L |
2.9404732987983 |
L(r)(E,1)/r! |
Ω |
1.4702366493991 |
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 |
3776n1 118a1 33984p1 94400s1 |
Quadratic twists by: -4 8 -3 5 |