Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
17640ba |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-1.021217202747E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 5 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-152292,486740324] |
[a1,a2,a3,a4,a6] |
Generators |
[1078:-39690:1] |
Generators of the group modulo torsion |
j |
-363080704/94921875 |
j-invariant |
L |
5.5531742643211 |
L(r)(E,1)/r! |
Ω |
0.1537936216615 |
Real period |
R |
0.09403115133842 |
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 |
35280by1 5880r1 88200ft1 17640r1 |
Quadratic twists by: -4 -3 5 -7 |