Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72072bo |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-5.6278723413563E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4854669,-10645403330] |
[a1,a2,a3,a4,a6] |
Generators |
[100292:1821897:64] |
Generators of the group modulo torsion |
j |
16950210658206622268/75390522405429231 |
j-invariant |
L |
5.6527078870527 |
L(r)(E,1)/r! |
Ω |
0.056370425105947 |
Real period |
R |
5.0138950310476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000562 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24024n1 |
Quadratic twists by: -3 |