Atkin-Lehner |
2- 3+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
122034g |
Isogeny class |
Conductor |
122034 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
39118464 |
Modular degree for the optimal curve |
Δ |
-1.7828713953408E+24 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 11+ -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-360835162,-2639154712345] |
[a1,a2,a3,a4,a6] |
Generators |
[16142337:340487155:729] |
Generators of the group modulo torsion |
j |
-821938895581650775417/282039076306944 |
j-invariant |
L |
5.6675169144471 |
L(r)(E,1)/r! |
Ω |
0.01731942249843 |
Real period |
R |
5.8434776012222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000173002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2838b1 |
Quadratic twists by: -43 |