Atkin-Lehner |
2+ 3+ 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440p |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
533055744000 = 211 · 32 · 53 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -6 13+ 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48160,-4051808] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:10:1] |
Generators of the group modulo torsion |
j |
6032012214473282/260281125 |
j-invariant |
L |
5.106838905772 |
L(r)(E,1)/r! |
Ω |
0.32227625482238 |
Real period |
R |
1.3205127608923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57720ba2 |
Quadratic twists by: -4 |