Atkin-Lehner |
2- 3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570dh |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-472666622400 = -1 · 26 · 34 · 52 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1910,-7708] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-310:1] |
Generators of the group modulo torsion |
j |
6549699311/4017600 |
j-invariant |
L |
11.79459670388 |
L(r)(E,1)/r! |
Ω |
0.54090827692492 |
Real period |
R |
0.4542743661846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
930m1 |
Quadratic twists by: -7 |