Atkin-Lehner |
2- 7+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
109564g |
Isogeny class |
Conductor |
109564 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
28822252500496 = 24 · 78 · 132 · 432 |
Discriminant |
Eigenvalues |
2- 3 3 7+ -5 13- -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-269941,-53981683] |
[a1,a2,a3,a4,a6] |
j |
23584461610752/312481 |
j-invariant |
L |
7.5402405617376 |
L(r)(E,1)/r! |
Ω |
0.20945111991306 |
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 |
109564n1 |
Quadratic twists by: -7 |