Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040ch |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
3922370600400000000 = 210 · 35 · 58 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5486301,4943406915] |
[a1,a2,a3,a4,a6] |
Generators |
[1374:1029:1] |
Generators of the group modulo torsion |
j |
151591373397612544/32558203125 |
j-invariant |
L |
7.8619369651444 |
L(r)(E,1)/r! |
Ω |
0.24105327944447 |
Real period |
R |
1.6307467343461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999931 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040ef1 5880h1 6720i1 |
Quadratic twists by: -4 8 -7 |