Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7098h |
Isogeny class |
Conductor |
7098 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
26208 |
Modular degree for the optimal curve |
Δ |
208442039675688 = 23 · 33 · 7 · 1310 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -3 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14876,-73006] |
[a1,a2,a3,a4,a6] |
j |
2640625/1512 |
j-invariant |
L |
1.4062084907708 |
L(r)(E,1)/r! |
Ω |
0.46873616359027 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56784bu1 21294ca1 49686f1 7098ba1 |
Quadratic twists by: -4 -3 -7 13 |