Atkin-Lehner |
2+ 3+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
25944a |
Isogeny class |
Conductor |
25944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
152758272 = 211 · 3 · 232 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 -2 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6008,181260] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:598:1] [49:46:1] |
Generators of the group modulo torsion |
j |
11712667531250/74589 |
j-invariant |
L |
6.2758166980515 |
L(r)(E,1)/r! |
Ω |
1.6287254097398 |
Real period |
R |
7.7064146731199 |
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 |
51888h2 77832h2 |
Quadratic twists by: -4 -3 |