Atkin-Lehner |
2+ 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
98112u |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
267170651328 = 26 · 3 · 72 · 734 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1972,-23422] |
[a1,a2,a3,a4,a6] |
Generators |
[225579:20619872:27] |
Generators of the group modulo torsion |
j |
13258203533632/4174541427 |
j-invariant |
L |
10.336560213776 |
L(r)(E,1)/r! |
Ω |
0.73413681339898 |
Real period |
R |
7.039941353824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999900854 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98112l1 49056l3 |
Quadratic twists by: -4 8 |