Atkin-Lehner |
2- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
74480bs |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-52210465223168000 = -1 · 212 · 53 · 710 · 192 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -4 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39216,-11379584] |
[a1,a2,a3,a4,a6] |
j |
-5764801/45125 |
j-invariant |
L |
0.59851859753163 |
L(r)(E,1)/r! |
Ω |
0.1496296548909 |
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 |
4655e1 74480bz1 |
Quadratic twists by: -4 -7 |