Atkin-Lehner |
2- 5+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
110110bs |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
29030400 |
Modular degree for the optimal curve |
Δ |
3.9321833318048E+23 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-292048446,-1920801114044] |
[a1,a2,a3,a4,a6] |
Generators |
[-296359132:338631630:29791] |
Generators of the group modulo torsion |
j |
1555006827939811751684089/221961497899581440 |
j-invariant |
L |
5.0291613138702 |
L(r)(E,1)/r! |
Ω |
0.036520738379398 |
Real period |
R |
9.8362143168019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999561829 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010f1 |
Quadratic twists by: -11 |