Atkin-Lehner |
2+ 3- 7- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
98154bi |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-70726240033848 = -1 · 23 · 39 · 73 · 19 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -6 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5418,-375732] |
[a1,a2,a3,a4,a6] |
j |
24125043017375/97018161912 |
j-invariant |
L |
1.8724943589981 |
L(r)(E,1)/r! |
Ω |
0.31208236524926 |
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 |
32718y1 |
Quadratic twists by: -3 |