Atkin-Lehner |
2- 3- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24816r |
Isogeny class |
Conductor |
24816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-3810471984 = -1 · 24 · 34 · 113 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11+ 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,303,-2070] |
[a1,a2,a3,a4,a6] |
Generators |
[306:5370:1] |
Generators of the group modulo torsion |
j |
191645007872/238154499 |
j-invariant |
L |
7.3740814260027 |
L(r)(E,1)/r! |
Ω |
0.74804259430413 |
Real period |
R |
4.9289181405923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6204d1 99264bn1 74448bt1 |
Quadratic twists by: -4 8 -3 |