Atkin-Lehner |
2- 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101430dw |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
1224254650612392000 = 26 · 313 · 53 · 73 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-269933,-8871019] |
[a1,a2,a3,a4,a6] |
j |
8698983351369247/4896098136000 |
j-invariant |
L |
2.7052579788052 |
L(r)(E,1)/r! |
Ω |
0.22543816980196 |
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 |
33810bs1 101430ex1 |
Quadratic twists by: -3 -7 |