Atkin-Lehner |
2- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7084j |
Isogeny class |
Conductor |
7084 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
78859088 = 24 · 7 · 113 · 232 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3113,65824] |
[a1,a2,a3,a4,a6] |
j |
208583809024000/4928693 |
j-invariant |
L |
0.89315577358851 |
L(r)(E,1)/r! |
Ω |
1.786311547177 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
28336r1 113344bb1 63756y1 49588p1 |
Quadratic twists by: -4 8 -3 -7 |