Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152bf |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-95856832512 = -1 · 212 · 33 · 74 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -2 -6 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-675,16354] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:152:1] [-7:144:1] |
Generators of the group modulo torsion |
j |
-307546875/866761 |
j-invariant |
L |
7.0281059906315 |
L(r)(E,1)/r! |
Ω |
0.94087237727321 |
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 |
1197a2 76608dc2 19152be2 |
Quadratic twists by: -4 8 -3 |