Atkin-Lehner |
2- 5+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55760l |
Isogeny class |
Conductor |
55760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
174250000 = 24 · 56 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3 5+ -3 0 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-184693,30550883] |
[a1,a2,a3,a4,a6] |
j |
43546678647048969984/10890625 |
j-invariant |
L |
2.1271046998357 |
L(r)(E,1)/r! |
Ω |
1.063552351304 |
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 |
13940b1 |
Quadratic twists by: -4 |