Atkin-Lehner |
2- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4640f |
Isogeny class |
Conductor |
4640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
1160000 = 26 · 54 · 29 |
Discriminant |
Eigenvalues |
2- -2 5- -4 2 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30,28] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:10:1] |
Generators of the group modulo torsion |
j |
48228544/18125 |
j-invariant |
L |
2.4810955449047 |
L(r)(E,1)/r! |
Ω |
2.5044676881828 |
Real period |
R |
0.49533390999845 |
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 |
4640d1 9280c2 41760h1 23200a1 |
Quadratic twists by: -4 8 -3 5 |