Atkin-Lehner |
2- 3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
75036b |
Isogeny class |
Conductor |
75036 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
5074868368128 = 28 · 3 · 136 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -4 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4788,68808] |
[a1,a2,a3,a4,a6] |
Generators |
[74:338:1] |
Generators of the group modulo torsion |
j |
9826000/4107 |
j-invariant |
L |
4.3392799720335 |
L(r)(E,1)/r! |
Ω |
0.6937927504414 |
Real period |
R |
1.0424054273946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000173 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
444a2 |
Quadratic twists by: 13 |