Atkin-Lehner |
2- 3- 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
99540p |
Isogeny class |
Conductor |
99540 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
873904263120 = 24 · 36 · 5 · 74 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 6 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36252,2656341] |
[a1,a2,a3,a4,a6] |
j |
451722907828224/74923205 |
j-invariant |
L |
1.7194096214257 |
L(r)(E,1)/r! |
Ω |
0.85970479363886 |
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 |
11060a1 |
Quadratic twists by: -3 |