Atkin-Lehner |
3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64575bi |
Isogeny class |
Conductor |
64575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
556800 |
Modular degree for the optimal curve |
Δ |
-3475471904296875 = -1 · 311 · 510 · 72 · 41 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 5 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-69375,-7583594] |
[a1,a2,a3,a4,a6] |
Generators |
[1084:34510:1] |
Generators of the group modulo torsion |
j |
-5186867200/488187 |
j-invariant |
L |
3.5246262240452 |
L(r)(E,1)/r! |
Ω |
0.1463020945864 |
Real period |
R |
6.0228567353379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002696 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21525m1 64575bl1 |
Quadratic twists by: -3 5 |