Atkin-Lehner |
2- 3- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
114192bm |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-3.0764240006265E+19 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 -4 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21603,266861410] |
[a1,a2,a3,a4,a6] |
Generators |
[953654065:56325988224:274625] |
Generators of the group modulo torsion |
j |
-373403541601/10302881732208 |
j-invariant |
L |
8.9583937091089 |
L(r)(E,1)/r! |
Ω |
0.16667073167626 |
Real period |
R |
13.437262950179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999091115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14274f1 38064bb1 |
Quadratic twists by: -4 -3 |