Atkin-Lehner |
2+ 3+ 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
46530a |
Isogeny class |
Conductor |
46530 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-8140888800 = -1 · 25 · 39 · 52 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-150,4436] |
[a1,a2,a3,a4,a6] |
Generators |
[13:61:1] |
Generators of the group modulo torsion |
j |
-19034163/413600 |
j-invariant |
L |
3.7907680768857 |
L(r)(E,1)/r! |
Ω |
1.1012605577473 |
Real period |
R |
0.86055203971478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999428 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46530r1 |
Quadratic twists by: -3 |