Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112200ba |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
4644864 |
Modular degree for the optimal curve |
Δ |
2.322709989732E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5339408,-4693671312] |
[a1,a2,a3,a4,a6] |
Generators |
[-80828:388575:64] |
Generators of the group modulo torsion |
j |
1052163263816561956/14516937435825 |
j-invariant |
L |
9.0025044557542 |
L(r)(E,1)/r! |
Ω |
0.099400593248737 |
Real period |
R |
6.4691367132764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000084708 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440o1 |
Quadratic twists by: 5 |