Atkin-Lehner |
2- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
1922c |
Isogeny class |
Conductor |
1922 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
26040 |
Modular degree for the optimal curve |
Δ |
13973766757433344 = 214 · 318 |
Discriminant |
Eigenvalues |
2- 3 1 -3 -3 5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68892,4028767] |
[a1,a2,a3,a4,a6] |
j |
42396561/16384 |
j-invariant |
L |
5.0555518342865 |
L(r)(E,1)/r! |
Ω |
0.36111084530618 |
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 |
15376s1 61504h1 17298e1 48050a1 |
Quadratic twists by: -4 8 -3 5 |