Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976bi |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-2897156071187546112 = -1 · 225 · 311 · 75 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 1 5 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,70303,-81601023] |
[a1,a2,a3,a4,a6] |
Generators |
[1453:55552:1] |
Generators of the group modulo torsion |
j |
146588258764583/11051773342848 |
j-invariant |
L |
6.3208680817692 |
L(r)(E,1)/r! |
Ω |
0.12101164209754 |
Real period |
R |
2.6116776750596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38976o1 9744v1 116928ev1 |
Quadratic twists by: -4 8 -3 |