Atkin-Lehner |
3+ 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
18249h |
Isogeny class |
Conductor |
18249 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1680000 |
Modular degree for the optimal curve |
Δ |
-6161982225327448443 = -1 · 320 · 75 · 113 · 79 |
Discriminant |
Eigenvalues |
-2 3+ -4 7- 11+ -3 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6397000,-6226497558] |
[a1,a2,a3,a4,a6] |
j |
-28950284246034434347012096/6161982225327448443 |
j-invariant |
L |
0.47464610365867 |
L(r)(E,1)/r! |
Ω |
0.047464610365867 |
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 |
54747x1 127743bb1 |
Quadratic twists by: -3 -7 |