Atkin-Lehner |
2+ 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992bp |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
2824694208 = 26 · 38 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 0 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,-740] |
[a1,a2,a3,a4,a6] |
j |
113379904/60543 |
j-invariant |
L |
2.3256189278909 |
L(r)(E,1)/r! |
Ω |
1.1628094322973 |
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 |
124992dl1 62496k2 41664bl1 |
Quadratic twists by: -4 8 -3 |