Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976i |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-869906825216 = -1 · 214 · 11 · 136 |
Discriminant |
Eigenvalues |
2+ -1 -3 -2 11+ 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1803,-34451] |
[a1,a2,a3,a4,a6] |
Generators |
[516:2197:27] |
Generators of the group modulo torsion |
j |
8192/11 |
j-invariant |
L |
3.4079971051082 |
L(r)(E,1)/r! |
Ω |
0.47341236021729 |
Real period |
R |
3.5993960223233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999919421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976cx1 7436c1 704d1 |
Quadratic twists by: -4 8 13 |