Atkin-Lehner |
2- 3- 7+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
32718n |
Isogeny class |
Conductor |
32718 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-666899074299024 = -1 · 24 · 32 · 74 · 196 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17507,-1530735] |
[a1,a2,a3,a4,a6] |
Generators |
[292:4129:1] |
Generators of the group modulo torsion |
j |
-593417647832152753/666899074299024 |
j-invariant |
L |
11.51357350982 |
L(r)(E,1)/r! |
Ω |
0.19880755369357 |
Real period |
R |
2.4130483005452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98154p2 |
Quadratic twists by: -3 |