Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200cd |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3194880 |
Modular degree for the optimal curve |
Δ |
2.27974820346E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1624208,326655588] |
[a1,a2,a3,a4,a6] |
Generators |
[1162:3108:1] |
Generators of the group modulo torsion |
j |
236929380920564/113987410173 |
j-invariant |
L |
7.2465596397334 |
L(r)(E,1)/r! |
Ω |
0.15727668896583 |
Real period |
R |
5.7594037473277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600p1 109200bk1 |
Quadratic twists by: -4 5 |