Atkin-Lehner |
2+ 3+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
25944a |
Isogeny class |
Conductor |
25944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-468237312 = -1 · 210 · 32 · 23 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 -2 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-368,3036] |
[a1,a2,a3,a4,a6] |
Generators |
[2:48:1] [5:36:1] |
Generators of the group modulo torsion |
j |
-5396930500/457263 |
j-invariant |
L |
6.2758166980515 |
L(r)(E,1)/r! |
Ω |
1.6287254097398 |
Real period |
R |
1.92660366828 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51888h1 77832h1 |
Quadratic twists by: -4 -3 |