Atkin-Lehner |
2+ 3+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
22704f |
Isogeny class |
Conductor |
22704 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
212352 |
Modular degree for the optimal curve |
Δ |
-4759653902429184 = -1 · 210 · 3 · 117 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -5 11+ 0 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16424,-3411264] |
[a1,a2,a3,a4,a6] |
j |
-478505580437668/4648099514091 |
j-invariant |
L |
2.2055693683571 |
L(r)(E,1)/r! |
Ω |
0.18379744736309 |
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 |
11352n1 90816cp1 68112x1 |
Quadratic twists by: -4 8 -3 |