Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800dh |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-70560000000 = -1 · 211 · 32 · 57 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,992,-4012] |
[a1,a2,a3,a4,a6] |
Generators |
[38:300:1] |
Generators of the group modulo torsion |
j |
68782/45 |
j-invariant |
L |
6.961332892666 |
L(r)(E,1)/r! |
Ω |
0.62503947309294 |
Real period |
R |
0.69608932638979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999847 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400cu1 11760o1 58800j1 |
Quadratic twists by: -4 5 -7 |