Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
45120cz |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-126307123200 = -1 · 214 · 38 · 52 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1135,-8337] |
[a1,a2,a3,a4,a6] |
Generators |
[31:240:1] |
Generators of the group modulo torsion |
j |
9860720816/7709175 |
j-invariant |
L |
7.810647635356 |
L(r)(E,1)/r! |
Ω |
0.58086374619453 |
Real period |
R |
0.84041305797944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45120g1 11280c1 |
Quadratic twists by: -4 8 |