Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
64980i |
Isogeny class |
Conductor |
64980 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-2000084400 = -1 · 24 · 36 · 52 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-228,-2527] |
[a1,a2,a3,a4,a6] |
Generators |
[38:209:1] |
Generators of the group modulo torsion |
j |
-16384/25 |
j-invariant |
L |
6.7800565896677 |
L(r)(E,1)/r! |
Ω |
0.58282824523611 |
Real period |
R |
1.9388377979517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000298 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7220f1 64980j1 |
Quadratic twists by: -3 -19 |