Atkin-Lehner |
2- 3+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
3774o |
Isogeny class |
Conductor |
3774 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-22644 = -1 · 22 · 32 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 3 -3 -3 -2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1,-7] |
[a1,a2,a3,a4,a6] |
Generators |
[3:4:1] |
Generators of the group modulo torsion |
j |
103823/22644 |
j-invariant |
L |
4.7739505927308 |
L(r)(E,1)/r! |
Ω |
1.7930208219703 |
Real period |
R |
0.66562955296369 |
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 |
30192bh1 120768bu1 11322g1 94350p1 |
Quadratic twists by: -4 8 -3 5 |