Atkin-Lehner |
2- 3+ 5- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17670p |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-2120400000 = -1 · 27 · 32 · 55 · 19 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -2 -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1235,16337] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-74:1] |
Generators of the group modulo torsion |
j |
-208327481285041/2120400000 |
j-invariant |
L |
6.2820115743449 |
L(r)(E,1)/r! |
Ω |
1.4734676984237 |
Real period |
R |
0.060905999219833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53010m1 88350bh1 |
Quadratic twists by: -3 5 |