Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920ba |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-83790000 = -1 · 24 · 32 · 54 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,-440] |
[a1,a2,a3,a4,a6] |
j |
-16384/5236875 |
j-invariant |
L |
1.7568151058832 |
L(r)(E,1)/r! |
Ω |
0.8784075529401 |
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 |
7980c1 127680gg1 95760fg1 |
Quadratic twists by: -4 8 -3 |