Atkin-Lehner |
3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
87285h |
Isogeny class |
Conductor |
87285 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4333824 |
Modular degree for the optimal curve |
Δ |
-2.1765135804E+20 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 0 11- 3 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,682234,-676082068] |
[a1,a2,a3,a4,a6] |
Generators |
[303814:8556668:343] |
Generators of the group modulo torsion |
j |
237222641291264/1470260755755 |
j-invariant |
L |
2.6032837128831 |
L(r)(E,1)/r! |
Ω |
0.088634660470444 |
Real period |
R |
7.3427361844386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936851 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3795e1 |
Quadratic twists by: -23 |