Atkin-Lehner |
3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64575s |
Isogeny class |
Conductor |
64575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-264797859375 = -1 · 310 · 56 · 7 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,670,23672] |
[a1,a2,a3,a4,a6] |
Generators |
[4:160:1] |
Generators of the group modulo torsion |
j |
2924207/23247 |
j-invariant |
L |
3.2046614912758 |
L(r)(E,1)/r! |
Ω |
0.71614846125229 |
Real period |
R |
2.2374281765274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21525v1 2583e1 |
Quadratic twists by: -3 5 |