Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6800u |
Isogeny class |
Conductor |
6800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-1114112000 = -1 · 219 · 53 · 17 |
Discriminant |
Eigenvalues |
2- 1 5- 0 6 -3 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-288,-2572] |
[a1,a2,a3,a4,a6] |
Generators |
[28:110:1] |
Generators of the group modulo torsion |
j |
-5177717/2176 |
j-invariant |
L |
4.9026390128516 |
L(r)(E,1)/r! |
Ω |
0.56762192881863 |
Real period |
R |
2.1592889403759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
850l1 27200cp1 61200hd1 6800x1 |
Quadratic twists by: -4 8 -3 5 |