Atkin-Lehner |
3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63075u |
Isogeny class |
Conductor |
63075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3830400 |
Modular degree for the optimal curve |
Δ |
-101073493998046875 = -1 · 3 · 59 · 297 |
Discriminant |
Eigenvalues |
-2 3- 5- 2 3 -4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-14682458,-21659305756] |
[a1,a2,a3,a4,a6] |
Generators |
[16831825827569396502:471595031085775067503:3512778457378744] |
Generators of the group modulo torsion |
j |
-301302001664/87 |
j-invariant |
L |
4.6743752268597 |
L(r)(E,1)/r! |
Ω |
0.038562915187002 |
Real period |
R |
30.303564993675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63075i1 2175f1 |
Quadratic twists by: 5 29 |