Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
19404p |
Isogeny class |
Conductor |
19404 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-11834352440064 = -1 · 28 · 36 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11+ 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9408,388276] |
[a1,a2,a3,a4,a6] |
j |
-4194304/539 |
j-invariant |
L |
1.3862122261289 |
L(r)(E,1)/r! |
Ω |
0.69310611306445 |
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 |
77616ge1 2156b1 2772g1 |
Quadratic twists by: -4 -3 -7 |