Atkin-Lehner |
2+ 3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
117216q |
Isogeny class |
Conductor |
117216 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
40104751104 = 212 · 37 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5196,-143840] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:9:1] |
Generators of the group modulo torsion |
j |
5195695168/13431 |
j-invariant |
L |
7.3313740339652 |
L(r)(E,1)/r! |
Ω |
0.5624057332362 |
Real period |
R |
1.6294673050944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971588 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117216ba2 39072m2 |
Quadratic twists by: -4 -3 |