Atkin-Lehner |
3- 5- 29+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
18705i |
Isogeny class |
Conductor |
18705 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2944 |
Modular degree for the optimal curve |
Δ |
2712225 = 3 · 52 · 292 · 43 |
Discriminant |
Eigenvalues |
1 3- 5- -2 0 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-58,143] |
[a1,a2,a3,a4,a6] |
Generators |
[39:220:1] |
Generators of the group modulo torsion |
j |
21047437081/2712225 |
j-invariant |
L |
7.1299938324033 |
L(r)(E,1)/r! |
Ω |
2.4630352688048 |
Real period |
R |
2.8947997305224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56115k1 93525d1 |
Quadratic twists by: -3 5 |