Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
4620f |
Isogeny class |
Conductor |
4620 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-21784094640 = -1 · 24 · 38 · 5 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,275,6790] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:77:1] |
Generators of the group modulo torsion |
j |
143225913344/1361505915 |
j-invariant |
L |
3.515094105137 |
L(r)(E,1)/r! |
Ω |
0.88639161504314 |
Real period |
R |
0.44062466866057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18480cx1 73920cp1 13860m1 23100x1 |
Quadratic twists by: -4 8 -3 5 |