Atkin-Lehner |
3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9765m |
Isogeny class |
Conductor |
9765 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-240780631721462595 = -1 · 36 · 5 · 74 · 317 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -4 -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,115728,-18103635] |
[a1,a2,a3,a4,a6] |
j |
235131885842333696/330288932402555 |
j-invariant |
L |
0.66465175562314 |
L(r)(E,1)/r! |
Ω |
0.16616293890579 |
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 |
1085b1 48825o1 68355s1 |
Quadratic twists by: -3 5 -7 |