Atkin-Lehner |
3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
64575bq |
Isogeny class |
Conductor |
64575 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
58880 |
Modular degree for the optimal curve |
Δ |
-565137475875 = -1 · 38 · 53 · 75 · 41 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -2 -2 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2190,-53519] |
[a1,a2,a3,a4,a6] |
Generators |
[115:-1103:1] |
Generators of the group modulo torsion |
j |
-12747309056/6201783 |
j-invariant |
L |
4.9804949255512 |
L(r)(E,1)/r! |
Ω |
0.3410379775505 |
Real period |
R |
0.73019652551733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21525q1 64575bm1 |
Quadratic twists by: -3 5 |