Atkin-Lehner |
2+ 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360r |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2400050384732160 = 221 · 34 · 5 · 414 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33825,-410463] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:164:1] |
Generators of the group modulo torsion |
j |
16327137318409/9155465640 |
j-invariant |
L |
5.2407570992226 |
L(r)(E,1)/r! |
Ω |
0.37845019657075 |
Real period |
R |
1.7309929901974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360da3 1230c3 118080v3 |
Quadratic twists by: -4 8 -3 |