Atkin-Lehner |
2+ 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7872d |
Isogeny class |
Conductor |
7872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
1511424 = 212 · 32 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 -4 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-489,4329] |
[a1,a2,a3,a4,a6] |
Generators |
[9:24:1] |
Generators of the group modulo torsion |
j |
3163575232/369 |
j-invariant |
L |
3.1914888868481 |
L(r)(E,1)/r! |
Ω |
2.5790844474142 |
Real period |
R |
0.61872516234354 |
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 |
7872l1 3936a1 23616p1 |
Quadratic twists by: -4 8 -3 |