Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810bw |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
34272 |
Modular degree for the optimal curve |
Δ |
15910850760 = 23 · 3 · 5 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 -3 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-736,4409] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:63:1] |
Generators of the group modulo torsion |
j |
7649089/2760 |
j-invariant |
L |
7.3156298269715 |
L(r)(E,1)/r! |
Ω |
1.1359024057335 |
Real period |
R |
0.715596475938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101430bu1 33810dk1 |
Quadratic twists by: -3 -7 |