Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568n |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3064320 |
Modular degree for the optimal curve |
Δ |
-2.6138177737905E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -1 13+ -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2145680,1438959144] |
[a1,a2,a3,a4,a6] |
j |
-442067613591752/105765793497 |
j-invariant |
L |
0.33304151304155 |
L(r)(E,1)/r! |
Ω |
0.16652097544069 |
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 |
113568ck1 8736l1 |
Quadratic twists by: -4 13 |