Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24864m |
Isogeny class |
Conductor |
24864 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-26686431744 = -1 · 29 · 3 · 73 · 373 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -2 4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96,7836] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:84:1] |
Generators of the group modulo torsion |
j |
-193100552/52121937 |
j-invariant |
L |
6.4397019409361 |
L(r)(E,1)/r! |
Ω |
0.96692865755579 |
Real period |
R |
2.2199852045667 |
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 |
24864o1 49728z1 74592bm1 |
Quadratic twists by: -4 8 -3 |