Atkin-Lehner |
2- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
12200k |
Isogeny class |
Conductor |
12200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
1952000 = 28 · 53 · 61 |
Discriminant |
Eigenvalues |
2- 0 5- 0 6 -4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-95,-350] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:2:1] |
Generators of the group modulo torsion |
j |
2963088/61 |
j-invariant |
L |
4.6782398217892 |
L(r)(E,1)/r! |
Ω |
1.5311305564603 |
Real period |
R |
1.5277076804621 |
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 |
24400h1 97600be1 109800x1 12200c1 |
Quadratic twists by: -4 8 -3 5 |