Atkin-Lehner |
2+ 5- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
31240b |
Isogeny class |
Conductor |
31240 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-7.626953125E+19 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3238547,-2282240514] |
[a1,a2,a3,a4,a6] |
j |
-3668380431784260478884/74481964111328125 |
j-invariant |
L |
2.2481205815614 |
L(r)(E,1)/r! |
Ω |
0.056203014539192 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62480d3 |
Quadratic twists by: -4 |