Atkin-Lehner |
2+ 3+ 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
72270d |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-76498373160 = -1 · 23 · 39 · 5 · 113 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11+ 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38544,-2903032] |
[a1,a2,a3,a4,a6] |
Generators |
[1535939470:38006054887:2197000] |
Generators of the group modulo torsion |
j |
-321742998971667/3886520 |
j-invariant |
L |
5.0383325008654 |
L(r)(E,1)/r! |
Ω |
0.1703646637518 |
Real period |
R |
14.78690588888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72270t1 |
Quadratic twists by: -3 |