Atkin-Lehner |
2+ 3+ 7+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
20202a |
Isogeny class |
Conductor |
20202 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-32214568446490248 = -1 · 23 · 320 · 74 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-39756,-9175176] |
[a1,a2,a3,a4,a6] |
j |
-6949424268501220297/32214568446490248 |
j-invariant |
L |
0.61273426705014 |
L(r)(E,1)/r! |
Ω |
0.15318356676254 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60606bd3 |
Quadratic twists by: -3 |