Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6200l |
Isogeny class |
Conductor |
6200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-3100000000 = -1 · 28 · 58 · 31 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,92,2688] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:50:1] |
Generators of the group modulo torsion |
j |
21296/775 |
j-invariant |
L |
2.6178162255108 |
L(r)(E,1)/r! |
Ω |
1.0738488395639 |
Real period |
R |
0.6094470955926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12400e1 49600x1 55800s1 1240b1 |
Quadratic twists by: -4 8 -3 5 |