Atkin-Lehner |
2- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
20650w |
Isogeny class |
Conductor |
20650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-129062500000000 = -1 · 28 · 513 · 7 · 59 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -1 0 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35588,-2644208] |
[a1,a2,a3,a4,a6] |
Generators |
[282:2984:1] |
Generators of the group modulo torsion |
j |
-319018004775289/8260000000 |
j-invariant |
L |
5.2062687409648 |
L(r)(E,1)/r! |
Ω |
0.17353205470174 |
Real period |
R |
0.93755530316738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4130a1 |
Quadratic twists by: 5 |