Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63840bo |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
57471561000000 = 26 · 32 · 56 · 72 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45190,3694600] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:2660:1] |
Generators of the group modulo torsion |
j |
159470506097562304/897993140625 |
j-invariant |
L |
6.3799978179997 |
L(r)(E,1)/r! |
Ω |
0.62991278623672 |
Real period |
R |
0.84403189845285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000117 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63840by1 127680fj2 |
Quadratic twists by: -4 8 |