Atkin-Lehner |
2- 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
55860i |
Isogeny class |
Conductor |
55860 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-6308998214400 = -1 · 28 · 32 · 52 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 1 4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26525,1676025] |
[a1,a2,a3,a4,a6] |
j |
-1398562816/4275 |
j-invariant |
L |
3.0241531613026 |
L(r)(E,1)/r! |
Ω |
0.7560382900071 |
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 |
55860v1 |
Quadratic twists by: -7 |