Atkin-Lehner |
3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63945a |
Isogeny class |
Conductor |
63945 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-1354715984797875 = -1 · 33 · 53 · 712 · 29 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 3 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,882,1770823] |
[a1,a2,a3,a4,a6] |
j |
23887872/426477625 |
j-invariant |
L |
1.5203070118154 |
L(r)(E,1)/r! |
Ω |
0.38007675269288 |
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 |
63945d2 9135b1 |
Quadratic twists by: -3 -7 |