Atkin-Lehner |
2- 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39480bg |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
Δ |
5374676916000000 = 28 · 35 · 56 · 76 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46620,1587600] |
[a1,a2,a3,a4,a6] |
Generators |
[-210:1470:1] |
Generators of the group modulo torsion |
j |
43773358594150096/20994831703125 |
j-invariant |
L |
7.7037829864778 |
L(r)(E,1)/r! |
Ω |
0.38235768718756 |
Real period |
R |
0.11193391895458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960j2 118440ba2 |
Quadratic twists by: -4 -3 |