Atkin-Lehner |
2- 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
24816t |
Isogeny class |
Conductor |
24816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1328314318848 = -1 · 218 · 34 · 113 · 47 |
Discriminant |
Eigenvalues |
2- 3- -4 3 11+ -1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3640,-102316] |
[a1,a2,a3,a4,a6] |
j |
-1302528459961/324295488 |
j-invariant |
L |
2.426716319915 |
L(r)(E,1)/r! |
Ω |
0.30333953998935 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3102b1 99264bs1 74448br1 |
Quadratic twists by: -4 8 -3 |