Atkin-Lehner |
2+ 3+ 11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
48906g |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6784 |
Modular degree for the optimal curve |
Δ |
-1907334 = -1 · 2 · 33 · 11 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 2 11- 13+ -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,15,59] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:7:1] |
Generators of the group modulo torsion |
j |
13312053/70642 |
j-invariant |
L |
4.1179893493967 |
L(r)(E,1)/r! |
Ω |
1.8963024055431 |
Real period |
R |
0.5428972374539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48906u1 |
Quadratic twists by: -3 |