Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
19404f |
Isogeny class |
Conductor |
19404 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-1188223344 = -1 · 24 · 39 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11- 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3213,-70119] |
[a1,a2,a3,a4,a6] |
j |
-33958656/11 |
j-invariant |
L |
1.2682165898452 |
L(r)(E,1)/r! |
Ω |
0.31705414746129 |
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 |
77616de1 19404a1 19404e1 |
Quadratic twists by: -4 -3 -7 |