Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160ba |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-80015040 = -1 · 26 · 36 · 5 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -1 -3 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-138,758] |
[a1,a2,a3,a4,a6] |
j |
-6229504/1715 |
j-invariant |
L |
1.8301951111411 |
L(r)(E,1)/r! |
Ω |
1.8301951111411 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20160bp1 10080bu1 2240h1 100800es1 |
Quadratic twists by: -4 8 -3 5 |