Atkin-Lehner |
2+ 3+ 5- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
64170d |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
7459762500 = 22 · 33 · 55 · 23 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4554,119360] |
[a1,a2,a3,a4,a6] |
Generators |
[46:-98:1] |
Generators of the group modulo torsion |
j |
386894600538363/276287500 |
j-invariant |
L |
4.8381023701368 |
L(r)(E,1)/r! |
Ω |
1.3090127063515 |
Real period |
R |
0.36959934361623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991911 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64170s1 |
Quadratic twists by: -3 |