Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32490by |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1969920 |
Modular degree for the optimal curve |
Δ |
-3.258299983112E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 3 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1734898,-2602117371] |
[a1,a2,a3,a4,a6] |
Generators |
[21886:1192083:8] |
Generators of the group modulo torsion |
j |
129205871/729000 |
j-invariant |
L |
9.5010941937617 |
L(r)(E,1)/r! |
Ω |
0.070938525661702 |
Real period |
R |
7.4407885052094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10830c1 32490p1 |
Quadratic twists by: -3 -19 |