Atkin-Lehner |
2+ 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790by |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
52388442500921100 = 22 · 314 · 52 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-218971944,-1247130102492] |
[a1,a2,a3,a4,a6] |
j |
13538587831984990560241/610829100 |
j-invariant |
L |
1.2558923678358 |
L(r)(E,1)/r! |
Ω |
0.039246635880998 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930da6 11970t5 |
Quadratic twists by: -3 -7 |