Atkin-Lehner |
3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88305m |
Isogeny class |
Conductor |
88305 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-7152705 = -1 · 35 · 5 · 7 · 292 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-134,-619] |
[a1,a2,a3,a4,a6] |
j |
-313021969/8505 |
j-invariant |
L |
3.5055500505922 |
L(r)(E,1)/r! |
Ω |
0.70111001202217 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88305c1 |
Quadratic twists by: 29 |