Atkin-Lehner |
2- 3+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
98838bc |
Isogeny class |
Conductor |
98838 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1145664 |
Modular degree for the optimal curve |
Δ |
-166961461792822848 = -1 · 26 · 39 · 178 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 1 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8291,-19659293] |
[a1,a2,a3,a4,a6] |
j |
-459/1216 |
j-invariant |
L |
5.2598782023841 |
L(r)(E,1)/r! |
Ω |
0.14610773671029 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98838f1 98838bb1 |
Quadratic twists by: -3 17 |