Atkin-Lehner |
2- 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
98112bp |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
8064000 |
Modular degree for the optimal curve |
Δ |
-3.8383753540917E+21 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -4 -3 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1394625,-3046990239] |
[a1,a2,a3,a4,a6] |
Generators |
[3109:150528:1] |
Generators of the group modulo torsion |
j |
-1144343586227588209/14642239967695872 |
j-invariant |
L |
2.598631659758 |
L(r)(E,1)/r! |
Ω |
0.059596369380419 |
Real period |
R |
2.1801929239829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98112t1 24528v1 |
Quadratic twists by: -4 8 |