Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
35040r |
Isogeny class |
Conductor |
35040 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-5045760 = -1 · 29 · 33 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -4 0 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,108] |
[a1,a2,a3,a4,a6] |
Generators |
[3:12:1] |
Generators of the group modulo torsion |
j |
-8/9855 |
j-invariant |
L |
8.018799779891 |
L(r)(E,1)/r! |
Ω |
1.9303036156222 |
Real period |
R |
1.384721677114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35040n1 70080bo1 105120h1 |
Quadratic twists by: -4 8 -3 |