Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680cg |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
184089926845440 = 210 · 34 · 5 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14520,-160740] |
[a1,a2,a3,a4,a6] |
Generators |
[-1212:20943:64] |
Generators of the group modulo torsion |
j |
8193532/4455 |
j-invariant |
L |
6.010557000419 |
L(r)(E,1)/r! |
Ω |
0.46395506605781 |
Real period |
R |
6.4775206049557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000155 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360cu1 64680db1 |
Quadratic twists by: -4 -7 |