Atkin-Lehner |
3+ 43+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
23607a |
Isogeny class |
Conductor |
23607 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
244608 |
Modular degree for the optimal curve |
Δ |
-29722714570449 = -1 · 33 · 433 · 614 |
Discriminant |
Eigenvalues |
1 3+ 3 1 5 -5 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1449573,-671388678] |
[a1,a2,a3,a4,a6] |
Generators |
[235704742496757102894:2915570411504956792326:160699045257162217] |
Generators of the group modulo torsion |
j |
-12476144322614301539211/1100841280387 |
j-invariant |
L |
8.0987722249254 |
L(r)(E,1)/r! |
Ω |
0.068795418968748 |
Real period |
R |
29.430637774749 |
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 |
23607b1 |
Quadratic twists by: -3 |