Atkin-Lehner |
2+ 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360r |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
161218560000 = 221 · 3 · 54 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-335905,75045025] |
[a1,a2,a3,a4,a6] |
Generators |
[10335:1049000:1] |
Generators of the group modulo torsion |
j |
15989485458638089/615000 |
j-invariant |
L |
5.2407570992226 |
L(r)(E,1)/r! |
Ω |
0.7569003931415 |
Real period |
R |
6.9239719607895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39360da4 1230c4 118080v4 |
Quadratic twists by: -4 8 -3 |