Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152t |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-2011044862512 = -1 · 24 · 39 · 72 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2886,-33077] |
[a1,a2,a3,a4,a6] |
Generators |
[2655:24304:125] |
Generators of the group modulo torsion |
j |
227910944768/172414683 |
j-invariant |
L |
5.9280073230867 |
L(r)(E,1)/r! |
Ω |
0.46297890135647 |
Real period |
R |
6.402027506781 |
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 |
9576u1 76608fq1 6384m1 |
Quadratic twists by: -4 8 -3 |