Atkin-Lehner |
2- 5- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62900g |
Isogeny class |
Conductor |
62900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-1473240478880000 = -1 · 28 · 54 · 173 · 374 |
Discriminant |
Eigenvalues |
2- -1 5- 1 0 3 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-373708,-87826888] |
[a1,a2,a3,a4,a6] |
Generators |
[2380782:706943386:27] |
Generators of the group modulo torsion |
j |
-36074645860450000/9207752993 |
j-invariant |
L |
5.2442487017255 |
L(r)(E,1)/r! |
Ω |
0.096544983689231 |
Real period |
R |
9.0532041845876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62900f1 |
Quadratic twists by: 5 |