Atkin-Lehner |
3- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33825z |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
-44490579766875 = -1 · 315 · 54 · 112 · 41 |
Discriminant |
Eigenvalues |
0 3- 5- -4 11+ -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,8817,41069] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:1481:8] |
Generators of the group modulo torsion |
j |
121271000268800/71184927627 |
j-invariant |
L |
4.0406045204089 |
L(r)(E,1)/r! |
Ω |
0.38830803528191 |
Real period |
R |
1.0405668060603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
101475ci1 33825c1 |
Quadratic twists by: -3 5 |