Atkin-Lehner |
2- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63308g |
Isogeny class |
Conductor |
63308 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
423360 |
Modular degree for the optimal curve |
Δ |
-128255007820712192 = -1 · 28 · 710 · 173 · 192 |
Discriminant |
Eigenvalues |
2- -1 0 7- 3 -5 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,124052,-3792424] |
[a1,a2,a3,a4,a6] |
Generators |
[182:4978:1] |
Generators of the group modulo torsion |
j |
2919518000/1773593 |
j-invariant |
L |
4.2652474483164 |
L(r)(E,1)/r! |
Ω |
0.19120697681347 |
Real period |
R |
3.7178275946804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000378 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63308e1 |
Quadratic twists by: -7 |