Atkin-Lehner |
3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
76725s |
Isogeny class |
Conductor |
76725 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-477321468099609375 = -1 · 37 · 59 · 112 · 314 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11+ 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,140620,-26359378] |
[a1,a2,a3,a4,a6] |
Generators |
[190:2586:1] |
Generators of the group modulo torsion |
j |
26997300089999/41904765375 |
j-invariant |
L |
4.5140802893722 |
L(r)(E,1)/r! |
Ω |
0.15604705870583 |
Real period |
R |
3.6159607307264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954967 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25575o1 15345e1 |
Quadratic twists by: -3 5 |