Atkin-Lehner |
3- 5- 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
35805o |
Isogeny class |
Conductor |
35805 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-22400001855 = -1 · 32 · 5 · 72 · 11 · 314 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,185,-7120] |
[a1,a2,a3,a4,a6] |
j |
699990535439/22400001855 |
j-invariant |
L |
2.3237856238472 |
L(r)(E,1)/r! |
Ω |
0.58094640596319 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
107415m1 |
Quadratic twists by: -3 |