Atkin-Lehner |
2- 3- 11+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32604d |
Isogeny class |
Conductor |
32604 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
171072 |
Modular degree for the optimal curve |
Δ |
30935065404672 = 28 · 36 · 11 · 133 · 193 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11+ 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-429533,108210111] |
[a1,a2,a3,a4,a6] |
Generators |
[-551:13338:1] |
Generators of the group modulo torsion |
j |
34235317799296000000/120840099237 |
j-invariant |
L |
6.5681597281634 |
L(r)(E,1)/r! |
Ω |
0.57764259096633 |
Real period |
R |
0.63170162377623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
97812p1 |
Quadratic twists by: -3 |