Atkin-Lehner |
2+ 3- 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
25530o |
Isogeny class |
Conductor |
25530 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
50112 |
Modular degree for the optimal curve |
Δ |
-166399663770 = -1 · 2 · 33 · 5 · 233 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -3 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6534,-204758] |
[a1,a2,a3,a4,a6] |
j |
-30843634846125529/166399663770 |
j-invariant |
L |
0.79627648677871 |
L(r)(E,1)/r! |
Ω |
0.26542549559287 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
76590ci1 127650by1 |
Quadratic twists by: -3 5 |