Atkin-Lehner |
2- 5+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
63650i |
Isogeny class |
Conductor |
63650 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
87120 |
Modular degree for the optimal curve |
Δ |
-133483724800 = -1 · 222 · 52 · 19 · 67 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 4 -1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1748,-33899] |
[a1,a2,a3,a4,a6] |
j |
-23627812537705/5339348992 |
j-invariant |
L |
8.0253601171308 |
L(r)(E,1)/r! |
Ω |
0.36478909637699 |
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 |
63650d1 |
Quadratic twists by: 5 |