Atkin-Lehner |
2- 3+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
48048be |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-6708005554618368 = -1 · 218 · 32 · 76 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11+ 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35848,4739824] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:2496:1] |
Generators of the group modulo torsion |
j |
-1243857621903625/1637696668608 |
j-invariant |
L |
4.2902386568628 |
L(r)(E,1)/r! |
Ω |
0.38027341040296 |
Real period |
R |
0.94016536074418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999715 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006r3 |
Quadratic twists by: -4 |