Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
19404o |
Isogeny class |
Conductor |
19404 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1258139593784304 = -1 · 24 · 311 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11+ -1 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-752493,-251253331] |
[a1,a2,a3,a4,a6] |
j |
-34339609640704/916839 |
j-invariant |
L |
0.97257811601748 |
L(r)(E,1)/r! |
Ω |
0.08104817633479 |
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 |
77616gd1 6468f1 2772e1 |
Quadratic twists by: -4 -3 -7 |