Atkin-Lehner |
3- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
85305s |
Isogeny class |
Conductor |
85305 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9685611166275 = -1 · 32 · 52 · 117 · 472 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 11- -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5321,-9319] |
[a1,a2,a3,a4,a6] |
Generators |
[33:433:1] |
Generators of the group modulo torsion |
j |
9407293631/5467275 |
j-invariant |
L |
6.3866897219405 |
L(r)(E,1)/r! |
Ω |
0.43029481994333 |
Real period |
R |
3.7106475765972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977458 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7755f2 |
Quadratic twists by: -11 |