Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7098b |
Isogeny class |
Conductor |
7098 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
304146135725796 = 22 · 38 · 74 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17579,310185] |
[a1,a2,a3,a4,a6] |
j |
124475734657/63011844 |
j-invariant |
L |
1.927831386644 |
L(r)(E,1)/r! |
Ω |
0.48195784666099 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56784cn3 21294cm3 49686bk3 42a3 |
Quadratic twists by: -4 -3 -7 13 |