Atkin-Lehner |
3- 5+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
68475j |
Isogeny class |
Conductor |
68475 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
139817390625 = 34 · 56 · 113 · 83 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14729738,21757858467] |
[a1,a2,a3,a4,a6] |
j |
22619799658992939699673/8948313 |
j-invariant |
L |
2.6099733242219 |
L(r)(E,1)/r! |
Ω |
0.43499555368264 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2739d3 |
Quadratic twists by: 5 |