Atkin-Lehner |
2- 3+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
35040n |
Isogeny class |
Conductor |
35040 |
Conductor |
∏ cp |
2 |
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] |
j |
-8/9855 |
j-invariant |
L |
2.2222195534595 |
L(r)(E,1)/r! |
Ω |
1.111109776734 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35040r1 70080ch1 105120i1 |
Quadratic twists by: -4 8 -3 |