Atkin-Lehner |
2+ 3+ 7+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
99918b |
Isogeny class |
Conductor |
99918 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-143976920435712 = -1 · 210 · 33 · 72 · 134 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 13- -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,11874,289044] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:218:1] [45:933:1] |
Generators of the group modulo torsion |
j |
6856942505763141/5332478534656 |
j-invariant |
L |
9.5083095100328 |
L(r)(E,1)/r! |
Ω |
0.37263982917849 |
Real period |
R |
1.5947553049138 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995366 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99918r2 |
Quadratic twists by: -3 |