Atkin-Lehner |
2- 3+ 29+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
50808c |
Isogeny class |
Conductor |
50808 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2813618408776704 = -1 · 210 · 36 · 294 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -2 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4912,-2553860] |
[a1,a2,a3,a4,a6] |
Generators |
[8982:851180:1] |
Generators of the group modulo torsion |
j |
-12802277654212/2747674227321 |
j-invariant |
L |
4.7930489754794 |
L(r)(E,1)/r! |
Ω |
0.20214874985194 |
Real period |
R |
5.9276262887397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000097 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101616c2 |
Quadratic twists by: -4 |