Atkin-Lehner |
2- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
6958n |
Isogeny class |
Conductor |
6958 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
18864326315072 = 26 · 77 · 713 |
Discriminant |
Eigenvalues |
2- 2 0 7- -6 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2557703,1573364029] |
[a1,a2,a3,a4,a6] |
Generators |
[671:12306:1] |
Generators of the group modulo torsion |
j |
15728446204516662625/160344128 |
j-invariant |
L |
7.8601800235294 |
L(r)(E,1)/r! |
Ω |
0.48087816297828 |
Real period |
R |
2.7242451514288 |
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 |
55664bc3 62622v3 994g3 |
Quadratic twists by: -4 -3 -7 |