Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
46746h |
Isogeny class |
Conductor |
46746 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
358400 |
Modular degree for the optimal curve |
Δ |
30391085634158592 = 220 · 313 · 73 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-173637,26599509] |
[a1,a2,a3,a4,a6] |
Generators |
[2305:107792:1] |
Generators of the group modulo torsion |
j |
2315422727572375/121541492736 |
j-invariant |
L |
4.975730373214 |
L(r)(E,1)/r! |
Ω |
0.36651289094668 |
Real period |
R |
6.7879336527228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999732 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15582x1 46746i1 |
Quadratic twists by: -3 -7 |