Atkin-Lehner |
2- 5+ 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
112850l |
Isogeny class |
Conductor |
112850 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
464256 |
Modular degree for the optimal curve |
Δ |
-53445760000000 = -1 · 213 · 57 · 372 · 61 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-81463,8949417] |
[a1,a2,a3,a4,a6] |
Generators |
[182:-491:1] [-202:4245:1] |
Generators of the group modulo torsion |
j |
-3826354627925929/3420528640 |
j-invariant |
L |
11.812987356644 |
L(r)(E,1)/r! |
Ω |
0.62640348188094 |
Real period |
R |
0.18133107518914 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001683 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22570a1 |
Quadratic twists by: 5 |