Atkin-Lehner |
2- 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
79800bq |
Isogeny class |
Conductor |
79800 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-129276000000000 = -1 · 211 · 35 · 59 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 5 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10992,-316512] |
[a1,a2,a3,a4,a6] |
j |
4589489518/4039875 |
j-invariant |
L |
3.2209559122489 |
L(r)(E,1)/r! |
Ω |
0.32209559318921 |
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 |
15960b1 |
Quadratic twists by: 5 |