Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148cj |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1764000 |
Modular degree for the optimal curve |
Δ |
-3.1130260148804E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -3 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,774723,-56081313] |
[a1,a2,a3,a4,a6] |
Generators |
[249:12342:1] |
Generators of the group modulo torsion |
j |
401408/243 |
j-invariant |
L |
9.8049683644213 |
L(r)(E,1)/r! |
Ω |
0.12111534343411 |
Real period |
R |
2.6985208443145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999718 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71148i1 588d1 |
Quadratic twists by: -7 -11 |