Atkin-Lehner |
2- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
88412a |
Isogeny class |
Conductor |
88412 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
904704 |
Modular degree for the optimal curve |
Δ |
-223784961967919344 = -1 · 24 · 232 · 319 |
Discriminant |
Eigenvalues |
2- -2 -1 -3 0 0 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,109234,18062173] |
[a1,a2,a3,a4,a6] |
Generators |
[24324:685193:64] |
Generators of the group modulo torsion |
j |
340736/529 |
j-invariant |
L |
2.1802432550897 |
L(r)(E,1)/r! |
Ω |
0.21413254311004 |
Real period |
R |
2.5454366122816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999754002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88412g1 |
Quadratic twists by: -31 |