Atkin-Lehner |
2+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18800g |
Isogeny class |
Conductor |
18800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
-1767200000000 = -1 · 211 · 58 · 472 |
Discriminant |
Eigenvalues |
2+ 1 5- 0 -5 -4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-691208,-221418412] |
[a1,a2,a3,a4,a6] |
j |
-45652085444690/2209 |
j-invariant |
L |
0.99345582935175 |
L(r)(E,1)/r! |
Ω |
0.082787985779313 |
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 |
9400d1 75200dg1 18800c1 |
Quadratic twists by: -4 8 5 |