Atkin-Lehner |
2- 3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52080cc |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-4253999601600000000 = -1 · 212 · 36 · 58 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1135800,475980948] |
[a1,a2,a3,a4,a6] |
Generators |
[516:-5250:1] |
Generators of the group modulo torsion |
j |
-39561225788358502201/1038574121484375 |
j-invariant |
L |
8.0955592543837 |
L(r)(E,1)/r! |
Ω |
0.24556793054642 |
Real period |
R |
0.11446763704751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3255b1 |
Quadratic twists by: -4 |