Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
45486v |
Isogeny class |
Conductor |
45486 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
24522234154612992 = 28 · 37 · 72 · 197 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 2 0 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-125154,-15254636] |
[a1,a2,a3,a4,a6] |
j |
6321363049/715008 |
j-invariant |
L |
1.0227811036106 |
L(r)(E,1)/r! |
Ω |
0.25569527597409 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15162y1 2394o1 |
Quadratic twists by: -3 -19 |