Atkin-Lehner |
3- 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33825p |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
41290283203125 = 3 · 515 · 11 · 41 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 11+ 0 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16783,-783281] |
[a1,a2,a3,a4,a6] |
j |
33460956135424/2642578125 |
j-invariant |
L |
1.6862007073949 |
L(r)(E,1)/r! |
Ω |
0.42155017684904 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101475bp1 6765a1 |
Quadratic twists by: -3 5 |