Atkin-Lehner |
3- 5+ 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
15405f |
Isogeny class |
Conductor |
15405 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
177381719775 = 312 · 52 · 132 · 79 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 2 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1409,1721] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:121:1] |
Generators of the group modulo torsion |
j |
309039175947529/177381719775 |
j-invariant |
L |
6.5363671342094 |
L(r)(E,1)/r! |
Ω |
0.86673603076914 |
Real period |
R |
0.62844654179284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46215i2 77025b2 |
Quadratic twists by: -3 5 |