Atkin-Lehner |
3+ 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
32775h |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-1.8096835114709E+24 |
Discriminant |
Eigenvalues |
0 3+ 5+ 4 -3 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-29851383,-90156171457] |
[a1,a2,a3,a4,a6] |
Generators |
[275079:21986549:27] |
Generators of the group modulo torsion |
j |
-188276913621702042812416/115819744734137971875 |
j-invariant |
L |
4.2546086715611 |
L(r)(E,1)/r! |
Ω |
0.031415540425937 |
Real period |
R |
1.2539820802876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98325bm2 6555n2 |
Quadratic twists by: -3 5 |