Atkin-Lehner |
2- 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21150ci |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
36000 |
Modular degree for the optimal curve |
Δ |
-1258094531250 = -1 · 2 · 36 · 58 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -1 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2695,-4053] |
[a1,a2,a3,a4,a6] |
j |
7604375/4418 |
j-invariant |
L |
3.0614902398238 |
L(r)(E,1)/r! |
Ω |
0.51024837330397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2350h1 21150bb1 |
Quadratic twists by: -3 5 |