Atkin-Lehner |
2+ 3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
99216o |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1472028899328 = 211 · 39 · 13 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-378608259,-2835523420702] |
[a1,a2,a3,a4,a6] |
Generators |
[-6599257637343465265599101245988226170470:-14181141144477173445895876420803678:587436151805738582412573532814706125] |
Generators of the group modulo torsion |
j |
4020096534674787344823554/985959 |
j-invariant |
L |
7.5169692782029 |
L(r)(E,1)/r! |
Ω |
0.034225675925767 |
Real period |
R |
54.907383751768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999857975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49608g6 33072e6 |
Quadratic twists by: -4 -3 |