Atkin-Lehner |
19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
8303b |
Isogeny class |
Conductor |
8303 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-472858149931 = -1 · 197 · 232 |
Discriminant |
Eigenvalues |
-2 -2 1 -3 5 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-120,33048] |
[a1,a2,a3,a4,a6] |
Generators |
[6:180:1] |
Generators of the group modulo torsion |
j |
-4096/10051 |
j-invariant |
L |
1.5218236135727 |
L(r)(E,1)/r! |
Ω |
0.75131296564158 |
Real period |
R |
0.25319402219305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74727p1 437b1 |
Quadratic twists by: -3 -19 |