Atkin-Lehner |
2- 3- 29+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
25404f |
Isogeny class |
Conductor |
25404 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-2701202148152064 = -1 · 28 · 35 · 296 · 73 |
Discriminant |
Eigenvalues |
2- 3- 3 4 4 -2 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-66189,-7037217] |
[a1,a2,a3,a4,a6] |
j |
-125270199006502912/10551570891219 |
j-invariant |
L |
5.9244242593097 |
L(r)(E,1)/r! |
Ω |
0.14811060648274 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101616j1 76212o1 |
Quadratic twists by: -4 -3 |