Atkin-Lehner |
2+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49600c |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
48050000000000 = 210 · 511 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 4 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105200,13129000] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:4448:1] |
Generators of the group modulo torsion |
j |
8047314026496/3003125 |
j-invariant |
L |
6.352868062228 |
L(r)(E,1)/r! |
Ω |
0.62447366002574 |
Real period |
R |
5.0865780807665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49600bz1 3100a1 9920a1 |
Quadratic twists by: -4 8 5 |