Atkin-Lehner |
3+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
46827c |
Isogeny class |
Conductor |
46827 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-4403657907 = -1 · 39 · 112 · 432 |
Discriminant |
Eigenvalues |
2 3+ 0 1 11- -6 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-75735,-8022193] |
[a1,a2,a3,a4,a6] |
j |
-20171441664000/1849 |
j-invariant |
L |
2.3023183864368 |
L(r)(E,1)/r! |
Ω |
0.14389489916365 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46827d1 46827j1 |
Quadratic twists by: -3 -11 |