Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976dm |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-343077289984 = -1 · 224 · 112 · 132 |
Discriminant |
Eigenvalues |
2- -2 3 2 11- 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1889,-42977] |
[a1,a2,a3,a4,a6] |
Generators |
[346:6391:1] |
Generators of the group modulo torsion |
j |
-16835377/7744 |
j-invariant |
L |
6.6909715766616 |
L(r)(E,1)/r! |
Ω |
0.35422418480727 |
Real period |
R |
4.7222718823634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999174825 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976m1 29744r1 118976cl1 |
Quadratic twists by: -4 8 13 |