Atkin-Lehner |
2+ 3- 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
64170k |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
619740512640000 = 210 · 310 · 54 · 232 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-806043690,-8807974562700] |
[a1,a2,a3,a4,a6] |
Generators |
[12524351684571441:-11693770523565763140:14366628991] |
Generators of the group modulo torsion |
j |
79445980921792374411056238241/850124160000 |
j-invariant |
L |
5.7856142216875 |
L(r)(E,1)/r! |
Ω |
0.028334131752552 |
Real period |
R |
25.52404936999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21390r4 |
Quadratic twists by: -3 |