Atkin-Lehner |
2+ 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5510f |
Isogeny class |
Conductor |
5510 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
28152 |
Modular degree for the optimal curve |
Δ |
-3258957824000 = -1 · 217 · 53 · 193 · 29 |
Discriminant |
Eigenvalues |
2+ -3 5- 4 -4 6 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2194,-94892] |
[a1,a2,a3,a4,a6] |
j |
-1168274565991161/3258957824000 |
j-invariant |
L |
0.97020291731864 |
L(r)(E,1)/r! |
Ω |
0.32340097243955 |
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 |
44080u1 49590bn1 27550s1 104690bm1 |
Quadratic twists by: -4 -3 5 -19 |