Atkin-Lehner |
3+ 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
32775h |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1391040 |
Modular degree for the optimal curve |
Δ |
-2.9762606620789E+21 |
Discriminant |
Eigenvalues |
0 3+ 5+ 4 -3 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2961117,1743437918] |
[a1,a2,a3,a4,a6] |
Generators |
[2188314:314450209:5832] |
Generators of the group modulo torsion |
j |
183768149583461187584/190480682373046875 |
j-invariant |
L |
4.2546086715611 |
L(r)(E,1)/r! |
Ω |
0.094246621277812 |
Real period |
R |
3.7619462408629 |
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 |
98325bm1 6555n1 |
Quadratic twists by: -3 5 |