Atkin-Lehner |
2+ 3+ 5- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
89010h |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-3189389230080 = -1 · 215 · 39 · 5 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1275819,-554347387] |
[a1,a2,a3,a4,a6] |
j |
-11668091005995576867/162037760 |
j-invariant |
L |
1.2784824763193 |
L(r)(E,1)/r! |
Ω |
0.071026804521436 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89010bc1 |
Quadratic twists by: -3 |