Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
120b |
Isogeny class |
Conductor |
120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8 |
Modular degree for the optimal curve |
Δ |
-3840 = -1 · 28 · 3 · 5 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4,0] |
[a1,a2,a3,a4,a6] |
j |
21296/15 |
j-invariant |
L |
1.2449101455495 |
L(r)(E,1)/r! |
Ω |
2.489820291099 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
240c1 960c1 360d1 600f1 |
Quadratic twists by: -4 8 -3 5 |