Atkin-Lehner |
3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
37845j |
Isogeny class |
Conductor |
37845 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
62875799146305 = 36 · 5 · 297 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 -6 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20342,-1044404] |
[a1,a2,a3,a4,a6] |
Generators |
[-578:1967:8] |
Generators of the group modulo torsion |
j |
2146689/145 |
j-invariant |
L |
2.6632542373399 |
L(r)(E,1)/r! |
Ω |
0.40146102875469 |
Real period |
R |
1.6584761948128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4205a1 1305g1 |
Quadratic twists by: -3 29 |