Atkin-Lehner |
2+ 7- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
76538q |
Isogeny class |
Conductor |
76538 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
198101621564 = 22 · 78 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 11+ 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8980452,-10359212650] |
[a1,a2,a3,a4,a6] |
Generators |
[4750:230350:1] |
Generators of the group modulo torsion |
j |
680816371007788184233/1683836 |
j-invariant |
L |
2.0434234891792 |
L(r)(E,1)/r! |
Ω |
0.087211752071123 |
Real period |
R |
5.8576494639372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907286 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10934b2 |
Quadratic twists by: -7 |