Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
30800n |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
6015592902704000000 = 210 · 56 · 710 · 113 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11- 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-569808,-115927888] |
[a1,a2,a3,a4,a6] |
Generators |
[1982:80850:1] |
Generators of the group modulo torsion |
j |
1278763167594532/375974556419 |
j-invariant |
L |
8.1519944576073 |
L(r)(E,1)/r! |
Ω |
0.17769119410805 |
Real period |
R |
0.76462187659585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15400m2 123200fv2 1232d2 |
Quadratic twists by: -4 8 5 |