Atkin-Lehner |
2- 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570bp |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
6.167801126663E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2316476,642309149] |
[a1,a2,a3,a4,a6] |
Generators |
[1581:29785:1] |
Generators of the group modulo torsion |
j |
11684735845700727601/5242544455680000 |
j-invariant |
L |
7.9866238296339 |
L(r)(E,1)/r! |
Ω |
0.14599126557829 |
Real period |
R |
1.7095679915347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999909 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6510ba1 |
Quadratic twists by: -7 |