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 |
deg |
573440 |
Modular degree for the optimal curve |
Δ |
-2074079842458624 = -1 · 210 · 33 · 79 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,28876,-1118057] |
[a1,a2,a3,a4,a6] |
j |
2444008923/1903616 |
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 |
126126j1 126126ef1 |
Quadratic twists by: -3 -7 |