Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
5040bl |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-33331979520 = -1 · 28 · 312 · 5 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 6 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-327,9074] |
[a1,a2,a3,a4,a6] |
j |
-20720464/178605 |
j-invariant |
L |
1.9954623771995 |
L(r)(E,1)/r! |
Ω |
0.99773118859973 |
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 |
1260j2 20160dy2 1680l2 25200et2 |
Quadratic twists by: -4 8 -3 5 |