Atkin-Lehner |
3- 5+ 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61065h |
Isogeny class |
Conductor |
61065 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1201942395 = -1 · 311 · 5 · 23 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5+ -5 -2 7 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1553,23996] |
[a1,a2,a3,a4,a6] |
Generators |
[18:31:1] |
Generators of the group modulo torsion |
j |
-567869252041/1648755 |
j-invariant |
L |
2.3019627049274 |
L(r)(E,1)/r! |
Ω |
1.5432775564053 |
Real period |
R |
0.37290160402206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999492 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20355e1 |
Quadratic twists by: -3 |