Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17787bb |
Isogeny class |
Conductor |
17787 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
13608 |
Modular degree for the optimal curve |
Δ |
-384359283 = -1 · 33 · 76 · 112 |
Discriminant |
Eigenvalues |
2 3- -4 7- 11- -2 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,180,-115] |
[a1,a2,a3,a4,a6] |
j |
45056/27 |
j-invariant |
L |
2.9565621995602 |
L(r)(E,1)/r! |
Ω |
0.98552073318674 |
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 |
53361cg1 363b1 17787bg1 |
Quadratic twists by: -3 -7 -11 |