Atkin-Lehner |
2- 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
61380r |
Isogeny class |
Conductor |
61380 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3.6036020566591E+26 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-185607687,-336341146466] |
[a1,a2,a3,a4,a6] |
Generators |
[641890:179121519:8] |
Generators of the group modulo torsion |
j |
3789170038204864571135824/1930942460058224255775 |
j-invariant |
L |
6.0432227955118 |
L(r)(E,1)/r! |
Ω |
0.043183866937705 |
Real period |
R |
11.661806487514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000316 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20460l2 |
Quadratic twists by: -3 |