Atkin-Lehner |
2- 3+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
24816i |
Isogeny class |
Conductor |
24816 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-343223485060084992 = -1 · 28 · 312 · 11 · 475 |
Discriminant |
Eigenvalues |
2- 3+ 2 -3 11+ 3 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225092,49915548] |
[a1,a2,a3,a4,a6] |
Generators |
[-4262:34263:8] |
Generators of the group modulo torsion |
j |
-4926810476359662928/1340716738515957 |
j-invariant |
L |
5.0026297428288 |
L(r)(E,1)/r! |
Ω |
0.28836916930077 |
Real period |
R |
1.7348004833384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6204f1 99264ch1 74448bo1 |
Quadratic twists by: -4 8 -3 |