Atkin-Lehner |
5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
12425a |
Isogeny class |
Conductor |
12425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-3377076171875 = -1 · 59 · 73 · 712 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ 3 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-41133,3225918] |
[a1,a2,a3,a4,a6] |
Generators |
[162:887:1] |
Generators of the group modulo torsion |
j |
-492589784498176/216132875 |
j-invariant |
L |
2.8078524520705 |
L(r)(E,1)/r! |
Ω |
0.78106934306845 |
Real period |
R |
0.89872060559942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111825l1 2485d1 86975c1 |
Quadratic twists by: -3 5 -7 |