Atkin-Lehner |
3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
24321d |
Isogeny class |
Conductor |
24321 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4896 |
Modular degree for the optimal curve |
Δ |
-4888521 = -1 · 32 · 112 · 672 |
Discriminant |
Eigenvalues |
1 3+ -3 0 11- -3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-79,-326] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-2:1] [18:-76:1] |
Generators of the group modulo torsion |
j |
-459601153/40401 |
j-invariant |
L |
6.8811790688787 |
L(r)(E,1)/r! |
Ω |
0.79538334404547 |
Real period |
R |
2.1628498762245 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72963m1 24321f1 |
Quadratic twists by: -3 -11 |