Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600ev |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2690184960000000 = 214 · 37 · 57 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1107072075,-14177901599750] |
[a1,a2,a3,a4,a6] |
Generators |
[40815:2937550:1] [56415:10144750:1] |
Generators of the group modulo torsion |
j |
3216206300355197383681/57660 |
j-invariant |
L |
11.371330264401 |
L(r)(E,1)/r! |
Ω |
0.026173125079379 |
Real period |
R |
54.308237127456 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13950cf5 37200cz6 22320bn6 |
Quadratic twists by: -4 -3 5 |