Atkin-Lehner |
2- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104222a |
Isogeny class |
Conductor |
104222 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-2356051703536 = -1 · 24 · 31 · 416 |
Discriminant |
Eigenvalues |
2- 0 -2 0 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1156,75671] |
[a1,a2,a3,a4,a6] |
j |
-35937/496 |
j-invariant |
L |
2.7704992675275 |
L(r)(E,1)/r! |
Ω |
0.69262479955021 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62a1 |
Quadratic twists by: 41 |