Atkin-Lehner |
3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
19215k |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2076841265625 = -1 · 36 · 56 · 72 · 612 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 2 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,922,68262] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:222:1] |
Generators of the group modulo torsion |
j |
119022883559/2848890625 |
j-invariant |
L |
2.8154062285685 |
L(r)(E,1)/r! |
Ω |
0.61958188836707 |
Real period |
R |
1.1360105425243 |
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 |
2135e2 96075bi2 |
Quadratic twists by: -3 5 |