Atkin-Lehner |
2- 3- 5+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
72270ba |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1.8037916235788E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4116488,-3148042413] |
[a1,a2,a3,a4,a6] |
Generators |
[-1293:4055:1] [-1033:1605:1] |
Generators of the group modulo torsion |
j |
10582216588996785343801/247433693220683640 |
j-invariant |
L |
14.488776004748 |
L(r)(E,1)/r! |
Ω |
0.10614177709731 |
Real period |
R |
7.5835549609321 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999417 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24090d4 |
Quadratic twists by: -3 |