Atkin-Lehner |
3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6417h |
Isogeny class |
Conductor |
6417 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1481280713477772003 = 39 · 238 · 312 |
Discriminant |
Eigenvalues |
1 3- 2 0 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1297926,566449389] |
[a1,a2,a3,a4,a6] |
Generators |
[-9330:182271:8] |
Generators of the group modulo torsion |
j |
331700532630485560417/2031935135086107 |
j-invariant |
L |
5.4894797361681 |
L(r)(E,1)/r! |
Ω |
0.27020391055673 |
Real period |
R |
5.0790158114824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102672bq6 2139c5 |
Quadratic twists by: -4 -3 |