Atkin-Lehner |
2- 3+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
95424bp |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
263168409024331776 = 228 · 34 · 74 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-307777,61012705] |
[a1,a2,a3,a4,a6] |
Generators |
[32647:5897880:1] |
Generators of the group modulo torsion |
j |
12299676461419537/1003907810304 |
j-invariant |
L |
5.2172118675045 |
L(r)(E,1)/r! |
Ω |
0.30316889907644 |
Real period |
R |
8.6044641566825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031542 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
95424bb2 23856ba2 |
Quadratic twists by: -4 8 |