Atkin-Lehner |
3+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111573k |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
275655489417 = 33 · 79 · 11 · 23 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5081,138352] |
[a1,a2,a3,a4,a6] |
Generators |
[62:211:1] |
Generators of the group modulo torsion |
j |
13312053/253 |
j-invariant |
L |
3.9110760612883 |
L(r)(E,1)/r! |
Ω |
0.9782036371341 |
Real period |
R |
3.9982228259235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998744523 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111573f1 111573j1 |
Quadratic twists by: -3 -7 |