Atkin-Lehner |
2- 5+ 37+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
112850n |
Isogeny class |
Conductor |
112850 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
26722880000000 = 212 · 57 · 372 · 61 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 6 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-216938,-38908508] |
[a1,a2,a3,a4,a6] |
Generators |
[712:12594:1] |
Generators of the group modulo torsion |
j |
72262121427788761/1710264320 |
j-invariant |
L |
10.172724391373 |
L(r)(E,1)/r! |
Ω |
0.22121585624764 |
Real period |
R |
1.9160629876894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22570d1 |
Quadratic twists by: 5 |