Atkin-Lehner |
2+ 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976o |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
22 |
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] |
j |
146588258764583/11051773342848 |
j-invariant |
L |
4.2714177253965 |
L(r)(E,1)/r! |
Ω |
0.19415535115185 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38976bi1 1218a1 116928bp1 |
Quadratic twists by: -4 8 -3 |