Atkin-Lehner |
2- 3+ 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45990bn |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-100580130000 = -1 · 24 · 39 · 54 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 3 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-947,19171] |
[a1,a2,a3,a4,a6] |
Generators |
[1:134:1] |
Generators of the group modulo torsion |
j |
-4767078987/5110000 |
j-invariant |
L |
10.097971541495 |
L(r)(E,1)/r! |
Ω |
0.96613358041018 |
Real period |
R |
0.32662316792472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45990a1 |
Quadratic twists by: -3 |