Atkin-Lehner |
3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63075p |
Isogeny class |
Conductor |
63075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5040 |
Modular degree for the optimal curve |
Δ |
-63075 = -1 · 3 · 52 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5+ 1 6 3 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3,12] |
[a1,a2,a3,a4,a6] |
j |
-145/3 |
j-invariant |
L |
2.9388104990915 |
L(r)(E,1)/r! |
Ω |
2.9388105015117 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63075g1 63075e1 |
Quadratic twists by: 5 29 |