Atkin-Lehner |
2+ 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
79680k |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2099404254412800 = 216 · 33 · 52 · 834 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66785,-6244383] |
[a1,a2,a3,a4,a6] |
Generators |
[399:5520:1] |
Generators of the group modulo torsion |
j |
502674755419876/32034366675 |
j-invariant |
L |
5.7306292770077 |
L(r)(E,1)/r! |
Ω |
0.29816814691479 |
Real period |
R |
4.8048637463846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79680bw3 9960c3 |
Quadratic twists by: -4 8 |