Atkin-Lehner |
2+ 5- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
11590c |
Isogeny class |
Conductor |
11590 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-118681600 = -1 · 212 · 52 · 19 · 61 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 -4 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-82,564] |
[a1,a2,a3,a4,a6] |
Generators |
[33:171:1] |
Generators of the group modulo torsion |
j |
-62146192681/118681600 |
j-invariant |
L |
4.6865889401501 |
L(r)(E,1)/r! |
Ω |
1.6631940473094 |
Real period |
R |
2.8178245032392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92720bj1 104310br1 57950bi1 |
Quadratic twists by: -4 -3 5 |