Atkin-Lehner |
3+ 7+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
95571a |
Isogeny class |
Conductor |
95571 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
74258667 = 33 · 72 · 372 · 41 |
Discriminant |
Eigenvalues |
1 3+ 0 7+ -6 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-672,-6527] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:71:8] [32:47:1] |
Generators of the group modulo torsion |
j |
1244031118875/2750321 |
j-invariant |
L |
12.561401847084 |
L(r)(E,1)/r! |
Ω |
0.93774473852757 |
Real period |
R |
6.6976658629125 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000287 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95571b2 |
Quadratic twists by: -3 |