Atkin-Lehner |
2- 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51150br |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-12041029687500 = -1 · 22 · 36 · 58 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3687,144531] |
[a1,a2,a3,a4,a6] |
j |
354744554039/770625900 |
j-invariant |
L |
3.9614771452408 |
L(r)(E,1)/r! |
Ω |
0.4951846431421 |
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 |
10230u2 |
Quadratic twists by: 5 |