Atkin-Lehner |
2- 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72842ba |
Isogeny class |
Conductor |
72842 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
1710720 |
Modular degree for the optimal curve |
Δ |
-202341064695616 = -1 · 26 · 73 · 118 · 43 |
Discriminant |
Eigenvalues |
2- -2 -3 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4495092,3667850704] |
[a1,a2,a3,a4,a6] |
Generators |
[1224:-604:1] |
Generators of the group modulo torsion |
j |
-46859536783829473/943936 |
j-invariant |
L |
5.8479379114547 |
L(r)(E,1)/r! |
Ω |
0.40641174730308 |
Real period |
R |
2.3981991785211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000536 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
72842g1 |
Quadratic twists by: -11 |