Atkin-Lehner |
3- 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6783c |
Isogeny class |
Conductor |
6783 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
87239167916481 = 310 · 72 · 174 · 192 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 0 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-444772,-114206785] |
[a1,a2,a3,a4,a6] |
Generators |
[797:5744:1] |
Generators of the group modulo torsion |
j |
9730520910103059888193/87239167916481 |
j-invariant |
L |
3.5079257145409 |
L(r)(E,1)/r! |
Ω |
0.1848695667595 |
Real period |
R |
3.7950277874609 |
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 |
108528s2 20349g2 47481i2 115311j2 |
Quadratic twists by: -4 -3 -7 17 |