Atkin-Lehner |
2+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69440br |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-373464985600 = -1 · 212 · 52 · 76 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 0 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4532,121056] |
[a1,a2,a3,a4,a6] |
Generators |
[20:196:1] |
Generators of the group modulo torsion |
j |
-2513237132736/91177975 |
j-invariant |
L |
6.9868916933565 |
L(r)(E,1)/r! |
Ω |
0.94727175127514 |
Real period |
R |
0.61465041439784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996178 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440bo1 34720g1 |
Quadratic twists by: -4 8 |