Atkin-Lehner |
2+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121520c |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
20423866400000000 = 211 · 58 · 77 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-463883,121413082] |
[a1,a2,a3,a4,a6] |
j |
45817447530402/84765625 |
j-invariant |
L |
1.5373187985275 |
L(r)(E,1)/r! |
Ω |
0.38432958559472 |
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 |
60760s4 17360m3 |
Quadratic twists by: -4 -7 |