Atkin-Lehner |
2+ 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
25550m |
Isogeny class |
Conductor |
25550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
24336 |
Modular degree for the optimal curve |
Δ |
-128199680000 = -1 · 213 · 54 · 73 · 73 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 3 -2 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-442,-17484] |
[a1,a2,a3,a4,a6] |
j |
-15299001225/205119488 |
j-invariant |
L |
1.3361609010444 |
L(r)(E,1)/r! |
Ω |
0.44538696701486 |
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 |
25550o1 |
Quadratic twists by: 5 |