Atkin-Lehner |
2- 3+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116886z |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
47692800 |
Modular degree for the optimal curve |
Δ |
-1.0718362619203E+26 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 11- 3 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,71563451,-440213260981] |
[a1,a2,a3,a4,a6] |
Generators |
[174367:72806604:1] |
Generators of the group modulo torsion |
j |
22879231194490519393943/60502362714028376064 |
j-invariant |
L |
11.116665851357 |
L(r)(E,1)/r! |
Ω |
0.030630508745649 |
Real period |
R |
7.8897367091655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999998641 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10626c1 |
Quadratic twists by: -11 |