Atkin-Lehner |
3+ 5- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
32775q |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-1238191484625 = -1 · 34 · 53 · 19 · 235 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 3 -5 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14265,652050] |
[a1,a2,a3,a4,a6] |
Generators |
[54:-234:1] [-810:8685:8] |
Generators of the group modulo torsion |
j |
-2568482411878349/9905531877 |
j-invariant |
L |
7.9462374556393 |
L(r)(E,1)/r! |
Ω |
0.86669249658548 |
Real period |
R |
0.45842311355784 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98325cm1 32775bl1 |
Quadratic twists by: -3 5 |