Atkin-Lehner |
2- 3+ 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840bs |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1824768 |
Modular degree for the optimal curve |
Δ |
2.5368115413453E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-776656,-103091264] |
[a1,a2,a3,a4,a6] |
Generators |
[158867665560:983683956736:165469149] |
Generators of the group modulo torsion |
j |
12648832119017360209/6193387552112640 |
j-invariant |
L |
4.8365375243692 |
L(r)(E,1)/r! |
Ω |
0.1690089545173 |
Real period |
R |
14.308524467132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005415 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230bb1 |
Quadratic twists by: -4 |