Atkin-Lehner |
2+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344bs |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2654208 |
Modular degree for the optimal curve |
Δ |
-9.6559493781335E+19 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11- -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1954433,1153702529] |
[a1,a2,a3,a4,a6] |
Generators |
[-1424:32361:1] |
Generators of the group modulo torsion |
j |
-3149534523783390625/368345236897792 |
j-invariant |
L |
10.827160784956 |
L(r)(E,1)/r! |
Ω |
0.18442721375709 |
Real period |
R |
4.8922465169323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344cw1 3542o1 |
Quadratic twists by: -4 8 |