Atkin-Lehner |
3- 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
33825bc |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-123292125 = -1 · 37 · 53 · 11 · 41 |
Discriminant |
Eigenvalues |
1 3- 5- 1 11- 6 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-41,-547] |
[a1,a2,a3,a4,a6] |
Generators |
[27:121:1] |
Generators of the group modulo torsion |
j |
-58863869/986337 |
j-invariant |
L |
8.9527028121104 |
L(r)(E,1)/r! |
Ω |
0.7987459463616 |
Real period |
R |
0.80060346497721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101475cb1 33825l1 |
Quadratic twists by: -3 5 |