Atkin-Lehner |
3- 5+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15015i |
Isogeny class |
Conductor |
15015 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7.3345189777625E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1399934,486381107] |
[a1,a2,a3,a4,a6] |
Generators |
[-405:31618:1] |
Generators of the group modulo torsion |
j |
303421219916435677303129/73345189777625390625 |
j-invariant |
L |
6.0744903368987 |
L(r)(E,1)/r! |
Ω |
0.18232823987311 |
Real period |
R |
4.1645292722662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45045bf2 75075v2 105105bk2 |
Quadratic twists by: -3 5 -7 |