Atkin-Lehner |
2- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
42700m |
Isogeny class |
Conductor |
42700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
714240 |
Modular degree for the optimal curve |
Δ |
142444531250000 = 24 · 511 · 72 · 612 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 4 6 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1275533,-554904812] |
[a1,a2,a3,a4,a6] |
j |
918034792531492864/569778125 |
j-invariant |
L |
0.85236943520085 |
L(r)(E,1)/r! |
Ω |
0.14206157253513 |
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 |
8540b1 |
Quadratic twists by: 5 |