Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840d |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
365192100000000 = 28 · 32 · 58 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-132756,-18550944] |
[a1,a2,a3,a4,a6] |
Generators |
[1240:41496:1] |
Generators of the group modulo torsion |
j |
1010763367143985744/1426531640625 |
j-invariant |
L |
3.8463092013279 |
L(r)(E,1)/r! |
Ω |
0.25013389831831 |
Real period |
R |
3.844250246755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10920p2 87360hb2 65520bp2 109200bm2 |
Quadratic twists by: -4 8 -3 5 |