Atkin-Lehner |
2+ 3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
99216o |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7956969597695529216 = 28 · 318 · 134 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1486839,-684496330] |
[a1,a2,a3,a4,a6] |
Generators |
[219956222:8426810405:97336] |
Generators of the group modulo torsion |
j |
1947816547556982352/42636368300409 |
j-invariant |
L |
7.5169692782029 |
L(r)(E,1)/r! |
Ω |
0.13690270370307 |
Real period |
R |
13.726845937942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999857975 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49608g2 33072e2 |
Quadratic twists by: -4 -3 |