Atkin-Lehner |
2- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
72896m |
Isogeny class |
Conductor |
72896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
327761839259648 = 232 · 17 · 672 |
Discriminant |
Eigenvalues |
2- 0 0 -2 4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99020,-11961456] |
[a1,a2,a3,a4,a6] |
Generators |
[83556870:9219268608:6859] |
Generators of the group modulo torsion |
j |
409593028559625/1250312192 |
j-invariant |
L |
4.6857281172848 |
L(r)(E,1)/r! |
Ω |
0.26918355304976 |
Real period |
R |
8.7035928911696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995676 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72896a1 18224f1 |
Quadratic twists by: -4 8 |