Atkin-Lehner |
2+ 3- 7+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426n |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
925719063696 = 24 · 37 · 7 · 194 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4446,105412] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:437:1] |
Generators of the group modulo torsion |
j |
13333970928097/1269847824 |
j-invariant |
L |
5.4877251431608 |
L(r)(E,1)/r! |
Ω |
0.85976823914122 |
Real period |
R |
0.7978494803852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142w1 |
Quadratic twists by: -3 |