Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800gi |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-84050798580000000 = -1 · 28 · 36 · 57 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44508,14424012] |
[a1,a2,a3,a4,a6] |
Generators |
[677:17150:1] |
Generators of the group modulo torsion |
j |
-20720464/178605 |
j-invariant |
L |
4.1511219025096 |
L(r)(E,1)/r! |
Ω |
0.29210578192125 |
Real period |
R |
1.7763778395459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000107 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700bk2 11760ct2 8400ck2 |
Quadratic twists by: -4 5 -7 |