Atkin-Lehner |
2- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49600bq |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-953312000000000 = -1 · 214 · 59 · 313 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 0 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5867,-1477363] |
[a1,a2,a3,a4,a6] |
j |
87228416/3723875 |
j-invariant |
L |
0.95166146748848 |
L(r)(E,1)/r! |
Ω |
0.23791536670921 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49600u2 12400m2 9920z2 |
Quadratic twists by: -4 8 5 |