Atkin-Lehner |
3+ 5+ 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
86025c |
Isogeny class |
Conductor |
86025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8008658671875 = 3 · 57 · 314 · 37 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-74500,7794625] |
[a1,a2,a3,a4,a6] |
Generators |
[3582:62435:8] |
Generators of the group modulo torsion |
j |
2926722948217921/512554155 |
j-invariant |
L |
5.2583801111376 |
L(r)(E,1)/r! |
Ω |
0.71552921924478 |
Real period |
R |
7.3489383283205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012925 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17205c3 |
Quadratic twists by: 5 |