Atkin-Lehner |
2- 3- 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
97008x |
Isogeny class |
Conductor |
97008 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1704960 |
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] |
j |
659039292451980967936/100139608566561429 |
j-invariant |
L |
6.1406964400409 |
L(r)(E,1)/r! |
Ω |
0.25586235722639 |
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 |
24252c1 |
Quadratic twists by: -4 |