Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840bq |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-129446553600000000 = -1 · 217 · 34 · 58 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56376,18041940] |
[a1,a2,a3,a4,a6] |
Generators |
[-186:4704:1] |
Generators of the group modulo torsion |
j |
-4837870546133689/31603162500000 |
j-invariant |
L |
5.1486643219658 |
L(r)(E,1)/r! |
Ω |
0.2836430310579 |
Real period |
R |
1.1344947165551 |
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 |
2730d4 87360fd3 65520dm3 109200dz3 |
Quadratic twists by: -4 8 -3 5 |