Atkin-Lehner |
2- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
2150m |
Isogeny class |
Conductor |
2150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-683760200 = -1 · 23 · 52 · 434 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 1 -4 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-368,2841] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:53:1] |
Generators of the group modulo torsion |
j |
-220496102185/27350408 |
j-invariant |
L |
3.838609299413 |
L(r)(E,1)/r! |
Ω |
1.5644592126946 |
Real period |
R |
0.20446944585628 |
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 |
17200l1 68800f1 19350x1 2150f1 |
Quadratic twists by: -4 8 -3 5 |