Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57800f |
Isogeny class |
Conductor |
57800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1762560 |
Modular degree for the optimal curve |
Δ |
4.031987800898E+19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 5 -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2784033,1762602437] |
[a1,a2,a3,a4,a6] |
Generators |
[1673:42246:1] |
Generators of the group modulo torsion |
j |
295936/5 |
j-invariant |
L |
10.56995250356 |
L(r)(E,1)/r! |
Ω |
0.20437625768944 |
Real period |
R |
6.4647629714312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999587 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115600l1 11560f1 57800k1 |
Quadratic twists by: -4 5 17 |