Atkin-Lehner |
2- 3- 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150da |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
1010880 |
Modular degree for the optimal curve |
Δ |
40778035200000000 = 218 · 33 · 58 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 1 4 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2016013,-1101887983] |
[a1,a2,a3,a4,a6] |
j |
2319763312630149745/104391770112 |
j-invariant |
L |
6.8418122763702 |
L(r)(E,1)/r! |
Ω |
0.12670022733955 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45150q1 |
Quadratic twists by: 5 |