Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21294cx |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-87178998816 = -1 · 25 · 311 · 7 · 133 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 5 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-106034,13316177] |
[a1,a2,a3,a4,a6] |
Generators |
[231:937:1] |
Generators of the group modulo torsion |
j |
-82318551880501/54432 |
j-invariant |
L |
7.2813428562779 |
L(r)(E,1)/r! |
Ω |
0.89002091743355 |
Real period |
R |
0.20452729575374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098p1 21294bb1 |
Quadratic twists by: -3 13 |