Atkin-Lehner |
2- 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126eb |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
120491075847830688 = 25 · 33 · 79 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-135764,-9547625] |
[a1,a2,a3,a4,a6] |
j |
253996928037/110588192 |
j-invariant |
L |
5.1761115715722 |
L(r)(E,1)/r! |
Ω |
0.25880561849704 |
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 |
126126j2 126126ef2 |
Quadratic twists by: -3 -7 |