Atkin-Lehner |
2- 3+ 7+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
101178z |
Isogeny class |
Conductor |
101178 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
6082560 |
Modular degree for the optimal curve |
Δ |
1.9888261703322E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11+ 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3790019,1861466563] |
[a1,a2,a3,a4,a6] |
j |
305883797828909542731/101042837490839552 |
j-invariant |
L |
6.5257279835759 |
L(r)(E,1)/r! |
Ω |
0.13595267340746 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101178d1 |
Quadratic twists by: -3 |