Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15246i |
Isogeny class |
Conductor |
15246 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
32400348406272 = 29 · 36 · 72 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2973537,-1972852227] |
[a1,a2,a3,a4,a6] |
Generators |
[4163599774:604077568389:195112] |
Generators of the group modulo torsion |
j |
2251439055699625/25088 |
j-invariant |
L |
3.6185139800371 |
L(r)(E,1)/r! |
Ω |
0.1149691211196 |
Real period |
R |
15.736895023633 |
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 |
121968fl6 1694f6 106722cv6 126a6 |
Quadratic twists by: -4 -3 -7 -11 |