Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
24402n |
Isogeny class |
Conductor |
24402 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-1366512 = -1 · 24 · 3 · 73 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,27,27] |
[a1,a2,a3,a4,a6] |
Generators |
[6:49:8] |
Generators of the group modulo torsion |
j |
6331625/3984 |
j-invariant |
L |
7.4451030206951 |
L(r)(E,1)/r! |
Ω |
1.6791369090226 |
Real period |
R |
2.2169434132172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73206m1 24402ba1 |
Quadratic twists by: -3 -7 |