Atkin-Lehner |
3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
16317j |
Isogeny class |
Conductor |
16317 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
51779494465209 = 38 · 78 · 372 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9491,84746] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:265:1] [-54:688:1] |
Generators of the group modulo torsion |
j |
1102302937/603729 |
j-invariant |
L |
4.1125040168188 |
L(r)(E,1)/r! |
Ω |
0.54988557639503 |
Real period |
R |
3.7394179747161 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5439f2 2331b2 |
Quadratic twists by: -3 -7 |