Atkin-Lehner |
3- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
48675p |
Isogeny class |
Conductor |
48675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-2300654296875 = -1 · 3 · 510 · 113 · 59 |
Discriminant |
Eigenvalues |
-2 3- 5+ 4 11+ 3 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5158,-161906] |
[a1,a2,a3,a4,a6] |
Generators |
[67038:1147517:216] |
Generators of the group modulo torsion |
j |
-971475595264/147241875 |
j-invariant |
L |
4.3804247707331 |
L(r)(E,1)/r! |
Ω |
0.27933472027334 |
Real period |
R |
7.8408168637344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000095 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9735b1 |
Quadratic twists by: 5 |