Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544ca |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.4285850418202E+24 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7901915916,270362650933744] |
[a1,a2,a3,a4,a6] |
Generators |
[30749095916208645:109308613430490142361:2433138625] |
Generators of the group modulo torsion |
j |
285531136548675601769470657/17941034271597192 |
j-invariant |
L |
5.7756467928518 |
L(r)(E,1)/r! |
Ω |
0.059865875109017 |
Real period |
R |
24.11911119097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544dq6 2142g5 22848bn6 |
Quadratic twists by: -4 8 -3 |