Atkin-Lehner |
2- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
42700m |
Isogeny class |
Conductor |
42700 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-5721132812500000000 = -1 · 28 · 516 · 74 · 61 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 4 6 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1267908,-561858812] |
[a1,a2,a3,a4,a6] |
j |
-56354329839423184/1430283203125 |
j-invariant |
L |
0.85236943520085 |
L(r)(E,1)/r! |
Ω |
0.071030786267567 |
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 |
8540b2 |
Quadratic twists by: 5 |