Atkin-Lehner |
2+ 3- 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
59598l |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
5111808 |
Modular degree for the optimal curve |
Δ |
-2.3591278182678E+19 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11- 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7553799,-7992438291] |
[a1,a2,a3,a4,a6] |
j |
-65387162212487662943089/32361149770476912 |
j-invariant |
L |
0.72850961982346 |
L(r)(E,1)/r! |
Ω |
0.045531851200166 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19866q1 |
Quadratic twists by: -3 |