Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568cw |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-221654058190516224 = -1 · 212 · 36 · 7 · 139 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 4 13+ 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-67149,23598459] |
[a1,a2,a3,a4,a6] |
j |
-1693669888/11211291 |
j-invariant |
L |
6.5069381681634 |
L(r)(E,1)/r! |
Ω |
0.27112245707969 |
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 |
113568bv1 8736g1 |
Quadratic twists by: -4 13 |