Atkin-Lehner |
2- 5+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
79120k |
Isogeny class |
Conductor |
79120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-648151040000 = -1 · 220 · 54 · 23 · 43 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 3 1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1264,34240] |
[a1,a2,a3,a4,a6] |
Generators |
[18:250:1] |
Generators of the group modulo torsion |
j |
54483042671/158240000 |
j-invariant |
L |
4.5752934799178 |
L(r)(E,1)/r! |
Ω |
0.64064002177633 |
Real period |
R |
1.7854385167914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9890h1 |
Quadratic twists by: -4 |