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 |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
5967781250000 = 24 · 59 · 192 · 232 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 -4 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-550883,-157191988] |
[a1,a2,a3,a4,a6] |
Generators |
[7466:94875:8] |
Generators of the group modulo torsion |
j |
73954159083268096/23871125 |
j-invariant |
L |
5.9137738066351 |
L(r)(E,1)/r! |
Ω |
0.17524056905358 |
Real period |
R |
4.2183252987841 |
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 |
17480b1 |
Quadratic twists by: 5 |