Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
111300c |
Isogeny class |
Conductor |
111300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3006720 |
Modular degree for the optimal curve |
Δ |
-8.0005702307344E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,288542,-426287963] |
[a1,a2,a3,a4,a6] |
Generators |
[2069583941702:115331799185379:676836152] |
Generators of the group modulo torsion |
j |
17003146400000/512036494767 |
j-invariant |
L |
6.1190188885886 |
L(r)(E,1)/r! |
Ω |
0.093004089897879 |
Real period |
R |
16.448252155651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111300v1 |
Quadratic twists by: 5 |