Atkin-Lehner |
3- 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
36975be |
Isogeny class |
Conductor |
36975 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
3448666916015625 = 36 · 59 · 174 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 -2 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-43013,-1954608] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:649:1] |
Generators of the group modulo torsion |
j |
4506024060413/1765717461 |
j-invariant |
L |
3.1990346705635 |
L(r)(E,1)/r! |
Ω |
0.34280268491218 |
Real period |
R |
1.5553333406082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110925cd1 36975r1 |
Quadratic twists by: -3 5 |