Atkin-Lehner |
3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
63075m |
Isogeny class |
Conductor |
63075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
662592 |
Modular degree for the optimal curve |
Δ |
-5440179740950875 = -1 · 3 · 53 · 299 |
Discriminant |
Eigenvalues |
-2 3+ 5- -4 1 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-40648,-4734402] |
[a1,a2,a3,a4,a6] |
Generators |
[561:-12195:1] |
Generators of the group modulo torsion |
j |
-4096/3 |
j-invariant |
L |
0.96594633932865 |
L(r)(E,1)/r! |
Ω |
0.16289914873679 |
Real period |
R |
1.4824299982472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002311 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63075z1 63075ba1 |
Quadratic twists by: 5 29 |