Atkin-Lehner |
2+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
8240b |
Isogeny class |
Conductor |
8240 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2080 |
Modular degree for the optimal curve |
Δ |
-5150000 = -1 · 24 · 55 · 103 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 4 4 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-291,1820] |
[a1,a2,a3,a4,a6] |
j |
-170912671744/321875 |
j-invariant |
L |
2.424471092414 |
L(r)(E,1)/r! |
Ω |
2.424471092414 |
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 |
4120d1 32960z1 74160s1 41200d1 |
Quadratic twists by: -4 8 -3 5 |