Atkin-Lehner |
2- 3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52080cd |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-559964160000 = -1 · 216 · 32 · 54 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3640,-93100] |
[a1,a2,a3,a4,a6] |
Generators |
[140:1470:1] |
Generators of the group modulo torsion |
j |
-1302528459961/136710000 |
j-invariant |
L |
8.5377303859429 |
L(r)(E,1)/r! |
Ω |
0.30550251302722 |
Real period |
R |
1.7466571513025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510c1 |
Quadratic twists by: -4 |