Atkin-Lehner |
2+ 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
56304o |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-308808972288 = -1 · 211 · 36 · 17 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -4 -1 6 2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,573,26210] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:92:1] |
Generators of the group modulo torsion |
j |
13935742/206839 |
j-invariant |
L |
4.6687316785814 |
L(r)(E,1)/r! |
Ω |
0.71878753386249 |
Real period |
R |
0.54127395771221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28152f1 6256b1 |
Quadratic twists by: -4 -3 |