Atkin-Lehner |
2+ 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55176a |
Isogeny class |
Conductor |
55176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
114240 |
Modular degree for the optimal curve |
Δ |
-27996219415296 = -1 · 28 · 32 · 116 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 1 3 11- 2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6615,-150291] |
[a1,a2,a3,a4,a6] |
j |
70575104/61731 |
j-invariant |
L |
2.9288735738919 |
L(r)(E,1)/r! |
Ω |
0.36610919667595 |
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 |
110352p1 456d1 |
Quadratic twists by: -4 -11 |