Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
61152bp |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2042880 |
Modular degree for the optimal curve |
Δ |
-710143389176352768 = -1 · 212 · 34 · 78 · 135 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -3 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10205393,-12551993889] |
[a1,a2,a3,a4,a6] |
Generators |
[3691:8820:1] |
Generators of the group modulo torsion |
j |
-4978158127432000/30074733 |
j-invariant |
L |
7.5267276118569 |
L(r)(E,1)/r! |
Ω |
0.042233975595569 |
Real period |
R |
3.7128123278107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61152a1 122304b1 61152bh1 |
Quadratic twists by: -4 8 -7 |