Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810dd |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
4468857923174400 = 220 · 32 · 52 · 77 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-53705,3545625] |
[a1,a2,a3,a4,a6] |
Generators |
[60:705:1] |
Generators of the group modulo torsion |
j |
145606291302529/37984665600 |
j-invariant |
L |
11.563348974854 |
L(r)(E,1)/r! |
Ω |
0.40772281531797 |
Real period |
R |
1.4180404603842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
101430bh1 4830s1 |
Quadratic twists by: -3 -7 |