Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
714f |
Isogeny class |
Conductor |
714 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
6246072 = 23 · 38 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5079,137205] |
[a1,a2,a3,a4,a6] |
Generators |
[41:-18:1] |
Generators of the group modulo torsion |
j |
14489843500598257/6246072 |
j-invariant |
L |
2.4625037273294 |
L(r)(E,1)/r! |
Ω |
1.9409723196817 |
Real period |
R |
0.84579730215942 |
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 |
5712bb3 22848bc4 2142d3 17850s4 |
Quadratic twists by: -4 8 -3 5 |