Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17787bg |
Isogeny class |
Conductor |
17787 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
149688 |
Modular degree for the optimal curve |
Δ |
-680915915750763 = -1 · 33 · 76 · 118 |
Discriminant |
Eigenvalues |
-2 3- -4 7- 11- 2 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,21740,239740] |
[a1,a2,a3,a4,a6] |
j |
45056/27 |
j-invariant |
L |
0.9364189512565 |
L(r)(E,1)/r! |
Ω |
0.31213965041883 |
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 |
53361by1 363c1 17787bb1 |
Quadratic twists by: -3 -7 -11 |