Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
15246c |
Isogeny class |
Conductor |
15246 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-4230483271483392 = -1 · 221 · 39 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13272,3187520] |
[a1,a2,a3,a4,a6] |
Generators |
[-370:15575:8] |
Generators of the group modulo torsion |
j |
-897199875/14680064 |
j-invariant |
L |
3.8694490403337 |
L(r)(E,1)/r! |
Ω |
0.3697066799128 |
Real period |
R |
5.2331337930469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968co2 15246bb1 106722r2 15246z2 |
Quadratic twists by: -4 -3 -7 -11 |