Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152bf |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
102961152 = 212 · 33 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -2 -6 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-915,10642] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:70:1] [9:56:1] |
Generators of the group modulo torsion |
j |
766060875/931 |
j-invariant |
L |
7.0281059906315 |
L(r)(E,1)/r! |
Ω |
1.8817447545464 |
Real period |
R |
0.93372201166634 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1197a1 76608dc1 19152be1 |
Quadratic twists by: -4 8 -3 |