Atkin-Lehner |
2+ 3+ 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
64170a |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8537571124650 = 2 · 39 · 52 · 234 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7440,-201250] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:100:1] [-434:1827:8] |
Generators of the group modulo torsion |
j |
2314110328083/433753550 |
j-invariant |
L |
7.1794295628307 |
L(r)(E,1)/r! |
Ω |
0.52071406541595 |
Real period |
R |
3.4469155145201 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999809 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64170t2 |
Quadratic twists by: -3 |