Atkin-Lehner |
2- 3+ 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
16770s |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
6576828938062500 = 22 · 3 · 56 · 138 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -6 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2380086,-1414295217] |
[a1,a2,a3,a4,a6] |
Generators |
[-25482827181713427:11480158745676801:28632956937857] |
Generators of the group modulo torsion |
j |
1491082498849111837358689/6576828938062500 |
j-invariant |
L |
6.0233346249384 |
L(r)(E,1)/r! |
Ω |
0.12154903247303 |
Real period |
R |
24.777386139518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50310z1 83850t1 |
Quadratic twists by: -3 5 |