Atkin-Lehner |
2- 3+ 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24252c |
Isogeny class |
Conductor |
24252 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
426240 |
Modular degree for the optimal curve |
Δ |
1602233737064982864 = 24 · 38 · 435 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 -6 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-456845,-101909586] |
[a1,a2,a3,a4,a6] |
Generators |
[-325:3483:1] |
Generators of the group modulo torsion |
j |
659039292451980967936/100139608566561429 |
j-invariant |
L |
3.184929636464 |
L(r)(E,1)/r! |
Ω |
0.18550867677007 |
Real period |
R |
0.57228763130607 |
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 |
97008x1 72756i1 |
Quadratic twists by: -4 -3 |