Atkin-Lehner |
3+ 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
32775g |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-1030384546875 = -1 · 38 · 56 · 19 · 232 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 -3 6 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-11633,489293] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:931:1] |
Generators of the group modulo torsion |
j |
-11143361069056/65944611 |
j-invariant |
L |
3.7651511377474 |
L(r)(E,1)/r! |
Ω |
0.88071613916305 |
Real period |
R |
1.0687754460039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98325bl1 1311c1 |
Quadratic twists by: -3 5 |