Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992fr |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
11182080 |
Modular degree for the optimal curve |
Δ |
-1.3340000932478E+24 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -3 1 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17974092,-62835004528] |
[a1,a2,a3,a4,a6] |
j |
-6720895431401588642/13961060378754237 |
j-invariant |
L |
1.3759331412987 |
L(r)(E,1)/r! |
Ω |
0.034398357008639 |
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 |
124992bx1 31248q1 41664co1 |
Quadratic twists by: -4 8 -3 |