Atkin-Lehner |
2+ 3+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34122b |
Isogeny class |
Conductor |
34122 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-27624786849792 = -1 · 212 · 34 · 116 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7016,116032] |
[a1,a2,a3,a4,a6] |
j |
21554582687/15593472 |
j-invariant |
L |
0.84712797578747 |
L(r)(E,1)/r! |
Ω |
0.42356398789136 |
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 |
102366bo1 282a1 |
Quadratic twists by: -3 -11 |