Atkin-Lehner |
2- 3- 7- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
113652u |
Isogeny class |
Conductor |
113652 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
5391360 |
Modular degree for the optimal curve |
Δ |
-4.4754802577567E+20 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 11+ -2 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1800537,413784110] |
[a1,a2,a3,a4,a6] |
Generators |
[5790:768320:27] |
Generators of the group modulo torsion |
j |
3459094042872565424/2398126852793133 |
j-invariant |
L |
9.9362424774266 |
L(r)(E,1)/r! |
Ω |
0.10552865541337 |
Real period |
R |
5.2309343836331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999802136 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37884g1 |
Quadratic twists by: -3 |