Atkin-Lehner |
2- 5- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040cg |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-1382378173890560 = -1 · 234 · 5 · 7 · 112 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11+ 2 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22800,2233792] |
[a1,a2,a3,a4,a6] |
j |
-320027539885201/337494671360 |
j-invariant |
L |
1.7477884091137 |
L(r)(E,1)/r! |
Ω |
0.43694707624469 |
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 |
14630t1 |
Quadratic twists by: -4 |