Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
73206br |
Isogeny class |
Conductor |
73206 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
204280355660136336 = 24 · 38 · 710 · 832 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-149729,-4904287] |
[a1,a2,a3,a4,a6] |
Generators |
[-16812:266359:64] |
Generators of the group modulo torsion |
j |
4328356230073/2381830416 |
j-invariant |
L |
11.076482984451 |
L(r)(E,1)/r! |
Ω |
0.25959062160119 |
Real period |
R |
5.3336301767894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000525 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24402i2 10458s2 |
Quadratic twists by: -3 -7 |