Atkin-Lehner |
3+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
61005g |
Isogeny class |
Conductor |
61005 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
897147155625 = 3 · 54 · 78 · 83 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 2 4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3112,-50189] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:29:1] |
Generators of the group modulo torsion |
j |
28344726649/7625625 |
j-invariant |
L |
6.8935085309889 |
L(r)(E,1)/r! |
Ω |
0.65203760527927 |
Real period |
R |
2.6430640178987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999517 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8715i1 |
Quadratic twists by: -7 |