Atkin-Lehner |
2+ 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98838u |
Isogeny class |
Conductor |
98838 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-456335046 = -1 · 2 · 37 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -3 0 3 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,99,931] |
[a1,a2,a3,a4,a6] |
Generators |
[17:77:1] |
Generators of the group modulo torsion |
j |
506447/2166 |
j-invariant |
L |
3.2574308596436 |
L(r)(E,1)/r! |
Ω |
1.1919693779951 |
Real period |
R |
0.68320355449078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999879716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32946s1 98838w1 |
Quadratic twists by: -3 17 |