Atkin-Lehner |
3- 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
32775bd |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-91552019517890625 = -1 · 3 · 57 · 198 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21876,14609023] |
[a1,a2,a3,a4,a6] |
j |
-74093292126001/5859329249145 |
j-invariant |
L |
2.234365856201 |
L(r)(E,1)/r! |
Ω |
0.27929573202561 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98325bn3 6555i4 |
Quadratic twists by: -3 5 |