Atkin-Lehner |
2+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63296a |
Isogeny class |
Conductor |
63296 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-68574380032 = -1 · 217 · 233 · 43 |
Discriminant |
Eigenvalues |
2+ 0 2 4 2 -2 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1964,-35792] |
[a1,a2,a3,a4,a6] |
Generators |
[2215746:7102169:39304] |
Generators of the group modulo torsion |
j |
-6392021634/523181 |
j-invariant |
L |
8.182837346292 |
L(r)(E,1)/r! |
Ω |
0.35690613194228 |
Real period |
R |
11.463570689782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63296u1 7912a1 |
Quadratic twists by: -4 8 |