Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7098b |
Isogeny class |
Conductor |
7098 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1216355868 = 22 · 32 · 7 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-227139,41571873] |
[a1,a2,a3,a4,a6] |
j |
268498407453697/252 |
j-invariant |
L |
1.927831386644 |
L(r)(E,1)/r! |
Ω |
0.96391569332198 |
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 |
56784cn4 21294cm4 49686bk4 42a4 |
Quadratic twists by: -4 -3 -7 13 |