Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984l |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-42276342104455536 = -1 · 24 · 33 · 73 · 1111 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11- 3 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1616439,-791081181] |
[a1,a2,a3,a4,a6] |
Generators |
[4686:307461:1] |
Generators of the group modulo torsion |
j |
-610325920583424/55240493 |
j-invariant |
L |
4.3574611609348 |
L(r)(E,1)/r! |
Ω |
0.066946421976445 |
Real period |
R |
1.3560163213523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996267 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968j1 60984bu1 5544k1 |
Quadratic twists by: -4 -3 -11 |