Atkin-Lehner |
2- 3- 5+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
72270ba |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
8027436345852686400 = 26 · 312 · 52 · 116 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-568688,93227667] |
[a1,a2,a3,a4,a6] |
Generators |
[1383:-44857:1] [-807:5513:1] |
Generators of the group modulo torsion |
j |
27900864534276099001/11011572490881600 |
j-invariant |
L |
14.488776004748 |
L(r)(E,1)/r! |
Ω |
0.21228355419463 |
Real period |
R |
1.895888740233 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999417 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24090d2 |
Quadratic twists by: -3 |