Atkin-Lehner |
2+ 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
85162m |
Isogeny class |
Conductor |
85162 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
24056157155338 = 2 · 712 · 11 · 79 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-453847,117795915] |
[a1,a2,a3,a4,a6] |
Generators |
[387:-120:1] |
Generators of the group modulo torsion |
j |
87874813723901625/204473962 |
j-invariant |
L |
4.1690706448911 |
L(r)(E,1)/r! |
Ω |
0.58194389446058 |
Real period |
R |
1.7910105606951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000019644 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12166d2 |
Quadratic twists by: -7 |