Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
20286bf |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-2982602623896 = -1 · 23 · 39 · 77 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 0 -5 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1314,80716] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:41:1] [11:305:1] |
Generators of the group modulo torsion |
j |
2924207/34776 |
j-invariant |
L |
4.7927631258178 |
L(r)(E,1)/r! |
Ω |
0.59179529106551 |
Real period |
R |
0.50616775747603 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6762y1 2898j1 |
Quadratic twists by: -3 -7 |