Atkin-Lehner |
2- 3- 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40698bj |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
-29668842 = -1 · 2 · 38 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5,263] |
[a1,a2,a3,a4,a6] |
Generators |
[54:149:8] |
Generators of the group modulo torsion |
j |
-15625/40698 |
j-invariant |
L |
9.3940611626598 |
L(r)(E,1)/r! |
Ω |
1.6823732551908 |
Real period |
R |
2.7919075430129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13566h1 |
Quadratic twists by: -3 |