Atkin-Lehner |
2- 3+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
16968b |
Isogeny class |
Conductor |
16968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-6011660592 = -1 · 24 · 312 · 7 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7,-3728] |
[a1,a2,a3,a4,a6] |
Generators |
[26663:232485:343] |
Generators of the group modulo torsion |
j |
-2725888/375728787 |
j-invariant |
L |
4.9284731310003 |
L(r)(E,1)/r! |
Ω |
0.61477063584612 |
Real period |
R |
8.0167673008928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33936b1 50904e1 118776p1 |
Quadratic twists by: -4 -3 -7 |