Atkin-Lehner |
2+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
4960a |
Isogeny class |
Conductor |
4960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
320 |
Modular degree for the optimal curve |
Δ |
307520 = 26 · 5 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 -4 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17,-4] |
[a1,a2,a3,a4,a6] |
Generators |
[5:6:1] |
Generators of the group modulo torsion |
j |
8489664/4805 |
j-invariant |
L |
4.0000529756535 |
L(r)(E,1)/r! |
Ω |
2.5356937068774 |
Real period |
R |
1.5774984828824 |
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 |
4960f1 9920g2 44640bm1 24800o1 |
Quadratic twists by: -4 8 -3 5 |