Atkin-Lehner |
2+ 3+ 7+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426a |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
48329580253248 = 26 · 39 · 74 · 19 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -2 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12516,425744] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:948:1] |
Generators of the group modulo torsion |
j |
11016625879251/2455397056 |
j-invariant |
L |
5.3307857410211 |
L(r)(E,1)/r! |
Ω |
0.59938067430956 |
Real period |
R |
2.223455797601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999377 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69426x1 |
Quadratic twists by: -3 |