Atkin-Lehner |
2- 3+ 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640bc |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
984960 |
Modular degree for the optimal curve |
Δ |
3976847969850000 = 24 · 33 · 55 · 79 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 2 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-301586,-63575085] |
[a1,a2,a3,a4,a6] |
Generators |
[-311:203:1] |
Generators of the group modulo torsion |
j |
189600160665834874624/248552998115625 |
j-invariant |
L |
5.7306457067552 |
L(r)(E,1)/r! |
Ω |
0.20374212365581 |
Real period |
R |
3.1252172790022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000102899 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30660l1 |
Quadratic twists by: -4 |