Atkin-Lehner |
2- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63296u |
Isogeny class |
Conductor |
63296 |
Conductor |
∏ cp |
12 |
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 |
[16:92:1] [26:48:1] |
Generators of the group modulo torsion |
j |
-6392021634/523181 |
j-invariant |
L |
9.7705546313418 |
L(r)(E,1)/r! |
Ω |
1.0756949596282 |
Real period |
R |
0.75691800789524 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63296a1 15824b1 |
Quadratic twists by: -4 8 |