Atkin-Lehner |
2+ 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450bi |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1504315010250000 = -1 · 24 · 36 · 56 · 134 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5733,1857141] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:893:1] [39:-1482:1] |
Generators of the group modulo torsion |
j |
1829276567/132066064 |
j-invariant |
L |
8.1765111677493 |
L(r)(E,1)/r! |
Ω |
0.36443345168642 |
Real period |
R |
0.70113205250755 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000347 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11050n2 3978h2 |
Quadratic twists by: -3 5 |