Atkin-Lehner |
5+ 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
115885i |
Isogeny class |
Conductor |
115885 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
64809025213625 = 53 · 77 · 114 · 43 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40385,-3089584] |
[a1,a2,a3,a4,a6] |
j |
61915841915481/550867625 |
j-invariant |
L |
2.6956722241507 |
L(r)(E,1)/r! |
Ω |
0.33695909392221 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16555g1 |
Quadratic twists by: -7 |