Atkin-Lehner |
3+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111573b |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2248704 |
Modular degree for the optimal curve |
Δ |
-5358961115633469267 = -1 · 39 · 74 · 118 · 232 |
Discriminant |
Eigenvalues |
2 3+ 2 7+ 11- -3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-281799,125380379] |
[a1,a2,a3,a4,a6] |
Generators |
[10082:336739:8] |
Generators of the group modulo torsion |
j |
-52367109451776/113395848049 |
j-invariant |
L |
16.063827698813 |
L(r)(E,1)/r! |
Ω |
0.21446544038385 |
Real period |
R |
2.3406783533693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034574 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111573a1 111573n1 |
Quadratic twists by: -3 -7 |