Atkin-Lehner |
2- 3+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
109956h |
Isogeny class |
Conductor |
109956 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26265600 |
Modular degree for the optimal curve |
Δ |
3.8272179995621E+25 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-141534409,575754526894] |
[a1,a2,a3,a4,a6] |
Generators |
[1651770650:280361940936:50653] |
Generators of the group modulo torsion |
j |
166571846396273551065088/20331760148631367821 |
j-invariant |
L |
3.2701175279219 |
L(r)(E,1)/r! |
Ω |
0.062581694616373 |
Real period |
R |
13.063394747441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015204 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15708e1 |
Quadratic twists by: -7 |