Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608ep |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
51993772992 = 26 · 38 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 6 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4287,107480] |
[a1,a2,a3,a4,a6] |
j |
186756901696/1114407 |
j-invariant |
L |
2.2591480075263 |
L(r)(E,1)/r! |
Ω |
1.129573991412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608fg1 38304l2 25536cb1 |
Quadratic twists by: -4 8 -3 |