Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
68450be |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
9893164062500 = 22 · 511 · 373 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 4 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-59605,5613897] |
[a1,a2,a3,a4,a6] |
Generators |
[-2250:3253:8] |
Generators of the group modulo torsion |
j |
29589645357/12500 |
j-invariant |
L |
10.610010429626 |
L(r)(E,1)/r! |
Ω |
0.71374765134644 |
Real period |
R |
7.4326061944865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13690e1 68450m1 |
Quadratic twists by: 5 37 |