Atkin-Lehner |
2- 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
87400m |
Isogeny class |
Conductor |
87400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-332311187500000000 = -1 · 28 · 512 · 19 · 234 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 -4 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-548508,-158616988] |
[a1,a2,a3,a4,a6] |
Generators |
[22637:3403950:1] |
Generators of the group modulo torsion |
j |
-4562610662122576/83077796875 |
j-invariant |
L |
5.9137738066351 |
L(r)(E,1)/r! |
Ω |
0.087620284526791 |
Real period |
R |
8.4366505975682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000235 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17480b2 |
Quadratic twists by: 5 |