Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
118580d |
Isogeny class |
Conductor |
118580 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1411200 |
Modular degree for the optimal curve |
Δ |
-13072251679182080 = -1 · 28 · 5 · 78 · 116 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ 11- 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41503,6391462] |
[a1,a2,a3,a4,a6] |
Generators |
[539:11858:1] |
Generators of the group modulo torsion |
j |
-3024/5 |
j-invariant |
L |
3.354510760687 |
L(r)(E,1)/r! |
Ω |
0.35707309501607 |
Real period |
R |
0.52191472412007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000163716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118580be1 980b1 |
Quadratic twists by: -7 -11 |