Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992gh |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
516159989694332928 = 224 · 310 · 75 · 31 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 2 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6266028,6037115600] |
[a1,a2,a3,a4,a6] |
j |
142374842119352809/2700952128 |
j-invariant |
L |
5.4006060811437 |
L(r)(E,1)/r! |
Ω |
0.27003032277389 |
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 |
124992cj1 31248cd1 41664cy1 |
Quadratic twists by: -4 8 -3 |