Atkin-Lehner |
2- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
24400y |
Isogeny class |
Conductor |
24400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
31232000 = 212 · 53 · 61 |
Discriminant |
Eigenvalues |
2- 2 5- 4 0 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128,-448] |
[a1,a2,a3,a4,a6] |
Generators |
[37:210:1] |
Generators of the group modulo torsion |
j |
456533/61 |
j-invariant |
L |
8.4646533015421 |
L(r)(E,1)/r! |
Ω |
1.4309850779875 |
Real period |
R |
2.9576315755321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1525c1 97600cw1 24400bc1 |
Quadratic twists by: -4 8 5 |