Atkin-Lehner |
2- 3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
85260a |
Isogeny class |
Conductor |
85260 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10160640 |
Modular degree for the optimal curve |
Δ |
-7.159831502112E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 0 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19065884,-25118362184] |
[a1,a2,a3,a4,a6] |
j |
519362086678410416/485152771190625 |
j-invariant |
L |
2.4699610749172 |
L(r)(E,1)/r! |
Ω |
0.049399221706543 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85260x1 |
Quadratic twists by: -7 |