Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680cd |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
43464960 = 28 · 32 · 5 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-100,-188] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:6:1] |
Generators of the group modulo torsion |
j |
1272112/495 |
j-invariant |
L |
6.145732738565 |
L(r)(E,1)/r! |
Ω |
1.55928728279 |
Real period |
R |
0.98534324081049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000406 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360cr1 64680cz1 |
Quadratic twists by: -4 -7 |