Atkin-Lehner |
2- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
104104o |
Isogeny class |
Conductor |
104104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-80588711979776 = -1 · 28 · 72 · 113 · 136 |
Discriminant |
Eigenvalues |
2- -1 1 7+ 11+ 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225,431989] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:338:1] [-5:658:1] |
Generators of the group modulo torsion |
j |
-1024/65219 |
j-invariant |
L |
9.7205398343841 |
L(r)(E,1)/r! |
Ω |
0.4857861420919 |
Real period |
R |
2.5012394842625 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999982733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
616d1 |
Quadratic twists by: 13 |