Atkin-Lehner |
2- 3+ 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
120780b |
Isogeny class |
Conductor |
120780 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-23189760 = -1 · 28 · 33 · 5 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11+ -2 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,57,-162] |
[a1,a2,a3,a4,a6] |
Generators |
[3:6:1] |
Generators of the group modulo torsion |
j |
2963088/3355 |
j-invariant |
L |
5.0544163826994 |
L(r)(E,1)/r! |
Ω |
1.1516660967783 |
Real period |
R |
0.73146438160102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120780f1 |
Quadratic twists by: -3 |