Atkin-Lehner |
2+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
105056b |
Isogeny class |
Conductor |
105056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
3531352384 = 26 · 77 · 67 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- -2 3 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2662,53684] |
[a1,a2,a3,a4,a6] |
Generators |
[40:98:1] [7:188:1] |
Generators of the group modulo torsion |
j |
277167808/469 |
j-invariant |
L |
7.5778272129449 |
L(r)(E,1)/r! |
Ω |
1.4057778076382 |
Real period |
R |
0.67381089422893 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996433 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105056m1 15008d1 |
Quadratic twists by: -4 -7 |