Atkin-Lehner |
2- 3+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
98112bg |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-1648968384 = -1 · 26 · 3 · 76 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 4 -2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,189,1617] |
[a1,a2,a3,a4,a6] |
Generators |
[-168:343:27] |
Generators of the group modulo torsion |
j |
11604575744/25765131 |
j-invariant |
L |
4.5597771178694 |
L(r)(E,1)/r! |
Ω |
1.0404249057467 |
Real period |
R |
2.1913052466202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018674 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98112ch1 49056g1 |
Quadratic twists by: -4 8 |