Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478cq |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
941353519282184448 = 28 · 39 · 11 · 198 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7274579,7553637875] |
[a1,a2,a3,a4,a6] |
Generators |
[-615:108910:1] |
Generators of the group modulo torsion |
j |
1241361053832817/27447552 |
j-invariant |
L |
12.741282874152 |
L(r)(E,1)/r! |
Ω |
0.25789989193382 |
Real period |
R |
6.1754983584755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998789 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23826s1 3762i1 |
Quadratic twists by: -3 -19 |