Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56644j |
Isogeny class |
Conductor |
56644 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7050240 |
Modular degree for the optimal curve |
Δ |
1.0204873351892E+24 |
Discriminant |
Eigenvalues |
2- -1 -2 7- 4 4 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-50474524,-129167339272] |
[a1,a2,a3,a4,a6] |
Generators |
[91920803:8679073942:6859] |
Generators of the group modulo torsion |
j |
234219472/16807 |
j-invariant |
L |
4.6803706564327 |
L(r)(E,1)/r! |
Ω |
0.05689742031141 |
Real period |
R |
13.709967373536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995426 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8092a1 56644q1 |
Quadratic twists by: -7 17 |