Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976dn |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-411166897856 = -1 · 26 · 113 · 136 |
Discriminant |
Eigenvalues |
2- 3 1 0 11- 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,338,30758] |
[a1,a2,a3,a4,a6] |
Generators |
[4251:53911:27] |
Generators of the group modulo torsion |
j |
13824/1331 |
j-invariant |
L |
14.009393341678 |
L(r)(E,1)/r! |
Ω |
0.72469926937027 |
Real period |
R |
3.2218866401969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999983447 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976cn1 59488g1 704h1 |
Quadratic twists by: -4 8 13 |