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 |
5907781158784517768 = 23 · 78 · 716 |
Discriminant |
Eigenvalues |
2- 2 0 7- -6 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2559663,1570829357] |
[a1,a2,a3,a4,a6] |
Generators |
[18075:330176:27] |
Generators of the group modulo torsion |
j |
15764632639032390625/50215311297032 |
j-invariant |
L |
7.8601800235294 |
L(r)(E,1)/r! |
Ω |
0.24043908148914 |
Real period |
R |
5.4484903028576 |
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 |
55664bc4 62622v4 994g4 |
Quadratic twists by: -4 -3 -7 |