Atkin-Lehner |
2- 3+ 7+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69426x |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
66295720512 = 26 · 33 · 74 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 2 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1391,-15305] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:70:1] |
Generators of the group modulo torsion |
j |
11016625879251/2455397056 |
j-invariant |
L |
8.5536143935704 |
L(r)(E,1)/r! |
Ω |
0.79424416287585 |
Real period |
R |
0.89745853072289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000202 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69426a1 |
Quadratic twists by: -3 |