Atkin-Lehner |
2+ 3- 7+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
101178o |
Isogeny class |
Conductor |
101178 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
686826183833653248 = 212 · 318 · 72 · 112 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-221121,-3386691] |
[a1,a2,a3,a4,a6] |
Generators |
[-270:6183:1] |
Generators of the group modulo torsion |
j |
1640163934046017297/942148400320512 |
j-invariant |
L |
4.2152736933941 |
L(r)(E,1)/r! |
Ω |
0.23920641287227 |
Real period |
R |
2.2027386609629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999637559 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33726r1 |
Quadratic twists by: -3 |