Atkin-Lehner |
2- 3- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
41004f |
Isogeny class |
Conductor |
41004 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
-212564736 = -1 · 28 · 36 · 17 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -5 4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24,-700] |
[a1,a2,a3,a4,a6] |
Generators |
[8:2:1] |
Generators of the group modulo torsion |
j |
8192/1139 |
j-invariant |
L |
4.4426275919657 |
L(r)(E,1)/r! |
Ω |
0.8402007035875 |
Real period |
R |
1.762526331703 |
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 |
4556a1 |
Quadratic twists by: -3 |