Atkin-Lehner |
2- 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
19740d |
Isogeny class |
Conductor |
19740 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
8454395250000 = 24 · 37 · 56 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7061,182886] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:625:1] |
Generators of the group modulo torsion |
j |
2433682216321024/528399703125 |
j-invariant |
L |
4.0145405748019 |
L(r)(E,1)/r! |
Ω |
0.69396770947882 |
Real period |
R |
1.9283032529073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960co1 59220t1 98700bh1 |
Quadratic twists by: -4 -3 5 |