Atkin-Lehner |
2- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
24964a |
Isogeny class |
Conductor |
24964 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
129402 |
Modular degree for the optimal curve |
Δ |
24273740958504976 = 24 · 798 |
Discriminant |
Eigenvalues |
2- -1 -1 -3 1 -1 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-164346,-24469343] |
[a1,a2,a3,a4,a6] |
j |
20224 |
j-invariant |
L |
0.7135289451922 |
L(r)(E,1)/r! |
Ω |
0.23784298173076 |
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 |
99856d1 24964c1 |
Quadratic twists by: -4 -79 |