Atkin-Lehner |
2- 3+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39216l |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-6115813632 = -1 · 28 · 34 · 193 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 -1 4 -4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-132,3852] |
[a1,a2,a3,a4,a6] |
j |
-1001132368/23889897 |
j-invariant |
L |
2.251957074038 |
L(r)(E,1)/r! |
Ω |
1.1259785370079 |
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 |
9804e1 117648be1 |
Quadratic twists by: -4 -3 |