Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
88800ce |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-1798200000000 = -1 · 29 · 35 · 58 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 5 -3 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2992,14988] |
[a1,a2,a3,a4,a6] |
j |
370146232/224775 |
j-invariant |
L |
5.1415847361994 |
L(r)(E,1)/r! |
Ω |
0.51415847292848 |
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 |
88800bi1 17760e1 |
Quadratic twists by: -4 5 |