Atkin-Lehner |
2+ 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
24402a |
Isogeny class |
Conductor |
24402 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-37965802896 = -1 · 24 · 35 · 76 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 3 6 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-417,-10107] |
[a1,a2,a3,a4,a6] |
j |
-68417929/322704 |
j-invariant |
L |
1.9124468701509 |
L(r)(E,1)/r! |
Ω |
0.47811171753773 |
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 |
73206bq1 498b1 |
Quadratic twists by: -3 -7 |