Atkin-Lehner |
2+ 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72842i |
Isogeny class |
Conductor |
72842 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
67953600 |
Modular degree for the optimal curve |
Δ |
-4.662988187267E+29 |
Discriminant |
Eigenvalues |
2+ 1 -2 7- 11- -1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-840196052,34165188797650] |
[a1,a2,a3,a4,a6] |
Generators |
[359238:135739777:27] |
Generators of the group modulo torsion |
j |
-2528941418639655515617/17977838042899675136 |
j-invariant |
L |
4.1351198365335 |
L(r)(E,1)/r! |
Ω |
0.025438834644751 |
Real period |
R |
5.4183821631372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72842n1 |
Quadratic twists by: -11 |