Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
41070bk |
Isogeny class |
Conductor |
41070 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
deg |
7879680 |
Modular degree for the optimal curve |
Δ |
9.8425370211494E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-267144635,1680590980497] |
[a1,a2,a3,a4,a6] |
j |
821774646379511057449/38361600000 |
j-invariant |
L |
8.4827432230533 |
L(r)(E,1)/r! |
Ω |
0.14137905371871 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
123210bh1 1110f1 |
Quadratic twists by: -3 37 |