Atkin-Lehner |
2- 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
48880k |
Isogeny class |
Conductor |
48880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
118400 |
Modular degree for the optimal curve |
Δ |
-24440000000000 = -1 · 212 · 510 · 13 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 -1 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25381,1582925] |
[a1,a2,a3,a4,a6] |
Generators |
[554:3125:8] |
Generators of the group modulo torsion |
j |
-441475962793984/5966796875 |
j-invariant |
L |
2.4535711380514 |
L(r)(E,1)/r! |
Ω |
0.67499126559942 |
Real period |
R |
1.8174836202491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3055a1 |
Quadratic twists by: -4 |