Atkin-Lehner |
2- 3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
85260m |
Isogeny class |
Conductor |
85260 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-40715551644929280 = -1 · 28 · 38 · 5 · 78 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25660,-9586968] |
[a1,a2,a3,a4,a6] |
Generators |
[222:2646:1] |
Generators of the group modulo torsion |
j |
62036678576/1351861245 |
j-invariant |
L |
6.4998059406123 |
L(r)(E,1)/r! |
Ω |
0.17597115059892 |
Real period |
R |
3.0780641804344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926644 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12180g2 |
Quadratic twists by: -7 |