Atkin-Lehner |
2- 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
720j |
Isogeny class |
Conductor |
720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-6449725440 = -1 · 216 · 39 · 5 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,213,3674] |
[a1,a2,a3,a4,a6] |
j |
357911/2160 |
j-invariant |
L |
1.9352482297828 |
L(r)(E,1)/r! |
Ω |
0.96762411489139 |
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 |
90c1 2880bb1 240b1 3600bk1 |
Quadratic twists by: -4 8 -3 5 |