Atkin-Lehner |
2+ 3- 7- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
99918k |
Isogeny class |
Conductor |
99918 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
168934409699328 = 216 · 36 · 73 · 132 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 3 13+ 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33720,-2291392] |
[a1,a2,a3,a4,a6] |
j |
5816558847720321/231734444032 |
j-invariant |
L |
4.2381241534366 |
L(r)(E,1)/r! |
Ω |
0.35317701355202 |
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 |
11102g1 |
Quadratic twists by: -3 |