Atkin-Lehner |
2- 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
111540l |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-191141636400 = -1 · 24 · 32 · 52 · 11 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225,21150] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:138:1] |
Generators of the group modulo torsion |
j |
-16384/2475 |
j-invariant |
L |
5.4519892361052 |
L(r)(E,1)/r! |
Ω |
0.82486281739447 |
Real period |
R |
3.3047854378875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999665167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
660b1 |
Quadratic twists by: 13 |