Atkin-Lehner |
3- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
67275ba |
Isogeny class |
Conductor |
67275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-157349092798828125 = -1 · 313 · 59 · 133 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5- 3 3 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-90680,-21764928] |
[a1,a2,a3,a4,a6] |
Generators |
[594:11265:1] |
Generators of the group modulo torsion |
j |
-57915683909/110511297 |
j-invariant |
L |
4.4242166482248 |
L(r)(E,1)/r! |
Ω |
0.12948139496758 |
Real period |
R |
4.2710930107122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993633 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22425j1 67275bg1 |
Quadratic twists by: -3 5 |