Atkin-Lehner |
3+ 5+ 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
122475f |
Isogeny class |
Conductor |
122475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
459364972149421875 = 37 · 56 · 232 · 714 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 4 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-231213,27613656] |
[a1,a2,a3,a4,a6] |
j |
87486400746254089/29399358217563 |
j-invariant |
L |
0.54567560360055 |
L(r)(E,1)/r! |
Ω |
0.27283846268615 |
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 |
4899a2 |
Quadratic twists by: 5 |