Atkin-Lehner |
2- 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
85162bb |
Isogeny class |
Conductor |
85162 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
2.6222981832485E+20 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11- 6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15996492,-24619847827] |
[a1,a2,a3,a4,a6] |
j |
3847775572392293925937/2228916678636032 |
j-invariant |
L |
10.871036618175 |
L(r)(E,1)/r! |
Ω |
0.075493309811028 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12166p2 |
Quadratic twists by: -7 |