Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688bh |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
9031680 |
Modular degree for the optimal curve |
Δ |
5.104793548688E+23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 6 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-242814224,-1456003520028] |
[a1,a2,a3,a4,a6] |
j |
13141891860831409148932/4237307541832617 |
j-invariant |
L |
3.2126891975822 |
L(r)(E,1)/r! |
Ω |
0.038246299971575 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22344d1 6384d1 |
Quadratic twists by: -4 -7 |