Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050cq |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-139535156250 = -1 · 2 · 36 · 59 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-492,-18334] |
[a1,a2,a3,a4,a6] |
j |
-189/2 |
j-invariant |
L |
1.7584656955047 |
L(r)(E,1)/r! |
Ω |
0.43961642387617 |
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 |
2450be1 22050fr1 22050cb1 |
Quadratic twists by: -3 5 -7 |