Atkin-Lehner |
2- 3+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
98112bi |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-99688071168 = -1 · 214 · 35 · 73 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 6 -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,975,-9999] |
[a1,a2,a3,a4,a6] |
Generators |
[11:44:1] |
Generators of the group modulo torsion |
j |
6249886256/6084477 |
j-invariant |
L |
3.3557834529008 |
L(r)(E,1)/r! |
Ω |
0.58017625564213 |
Real period |
R |
2.8920379158726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999835768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98112bc1 24528q1 |
Quadratic twists by: -4 8 |