Atkin-Lehner |
2+ 3- 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426v |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
180224 |
Modular degree for the optimal curve |
Δ |
-14072981223168 = -1 · 28 · 37 · 74 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3537,160429] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:2467:8] [15:-473:1] |
Generators of the group modulo torsion |
j |
6711696261647/19304500992 |
j-invariant |
L |
7.196667405453 |
L(r)(E,1)/r! |
Ω |
0.49548513907983 |
Real period |
R |
1.815560860908 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142y1 |
Quadratic twists by: -3 |