Atkin-Lehner |
5+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
78155b |
Isogeny class |
Conductor |
78155 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-3020654389607421875 = -1 · 59 · 78 · 11 · 293 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- 11+ 1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-485361,154859592] |
[a1,a2,a3,a4,a6] |
Generators |
[390:-4974:1] |
Generators of the group modulo torsion |
j |
-107480826403618816/25675138671875 |
j-invariant |
L |
3.5180005815571 |
L(r)(E,1)/r! |
Ω |
0.24150154538407 |
Real period |
R |
1.2139330812807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11165d1 |
Quadratic twists by: -7 |