Atkin-Lehner |
3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63945c |
Isogeny class |
Conductor |
63945 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-335774363715 = -1 · 39 · 5 · 76 · 29 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- -3 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1323,20837] |
[a1,a2,a3,a4,a6] |
Generators |
[-714:27577:216] |
Generators of the group modulo torsion |
j |
110592/145 |
j-invariant |
L |
14.131713292582 |
L(r)(E,1)/r! |
Ω |
0.64732386251657 |
Real period |
R |
5.4577446121576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000495 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63945b1 1305a1 |
Quadratic twists by: -3 -7 |