Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7098b |
Isogeny class |
Conductor |
7098 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4507746122701458 = 2 · 34 · 78 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-154469,-23207517] |
[a1,a2,a3,a4,a6] |
j |
84448510979617/933897762 |
j-invariant |
L |
1.927831386644 |
L(r)(E,1)/r! |
Ω |
0.24097892333049 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56784cn6 21294cm6 49686bk6 42a5 |
Quadratic twists by: -4 -3 -7 13 |