Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810cz |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
75178769841000000 = 26 · 34 · 56 · 79 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-127646,-11590524] |
[a1,a2,a3,a4,a6] |
Generators |
[-290:1174:1] |
Generators of the group modulo torsion |
j |
5699846954647/1863000000 |
j-invariant |
L |
9.9116117382313 |
L(r)(E,1)/r! |
Ω |
0.25916380482344 |
Real period |
R |
1.5935243067898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430cf1 33810cq1 |
Quadratic twists by: -3 -7 |