Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712bz |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.2535173747886E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1115724,420411760] |
[a1,a2,a3,a4,a6] |
Generators |
[773:4455:1] |
Generators of the group modulo torsion |
j |
803760366578833/65593817586 |
j-invariant |
L |
10.182271827417 |
L(r)(E,1)/r! |
Ω |
0.21971593317763 |
Real period |
R |
2.896430759185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032603 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712dm4 3366c3 35904bg4 |
Quadratic twists by: -4 8 -3 |