Atkin-Lehner |
2+ 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810n |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-10819200 = -1 · 27 · 3 · 52 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 5 -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,52,-48] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] |
Generators of the group modulo torsion |
j |
307908839/220800 |
j-invariant |
L |
3.1317097464194 |
L(r)(E,1)/r! |
Ω |
1.2811681018175 |
Real period |
R |
1.2222087569841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101430fb1 33810bj1 |
Quadratic twists by: -3 -7 |