Atkin-Lehner |
3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
67275m |
Isogeny class |
Conductor |
67275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
10217390625 = 37 · 56 · 13 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4280,108722] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-2:1] |
Generators of the group modulo torsion |
j |
761048497/897 |
j-invariant |
L |
3.6418564133883 |
L(r)(E,1)/r! |
Ω |
1.2824451015611 |
Real period |
R |
2.8397756824539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22425l1 2691c1 |
Quadratic twists by: -3 5 |