Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
20286bt |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-8865096905097216 = -1 · 215 · 33 · 77 · 233 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -6 -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55649,6800049] |
[a1,a2,a3,a4,a6] |
Generators |
[-201:3236:1] [-103:3432:1] |
Generators of the group modulo torsion |
j |
-5999796014211/2790817792 |
j-invariant |
L |
8.8743834505591 |
L(r)(E,1)/r! |
Ω |
0.38455067683607 |
Real period |
R |
0.064103554161602 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20286j2 2898m1 |
Quadratic twists by: -3 -7 |