Atkin-Lehner |
2- 3- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40698bq |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
30976 |
Modular degree for the optimal curve |
Δ |
-3375654912 = -1 · 211 · 36 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-884,10711] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-43:1] |
Generators of the group modulo torsion |
j |
-104686895097/4630528 |
j-invariant |
L |
10.396305682427 |
L(r)(E,1)/r! |
Ω |
1.3981004661954 |
Real period |
R |
0.33800099536991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4522d1 |
Quadratic twists by: -3 |