Atkin-Lehner |
2+ 3+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
24402d |
Isogeny class |
Conductor |
24402 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-10932096 = -1 · 27 · 3 · 73 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 3 -4 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,38,148] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:11:1] |
Generators of the group modulo torsion |
j |
16974593/31872 |
j-invariant |
L |
3.5673167862144 |
L(r)(E,1)/r! |
Ω |
1.5661926408053 |
Real period |
R |
1.1388499387854 |
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 |
73206bg1 24402h1 |
Quadratic twists by: -3 -7 |