Atkin-Lehner |
2+ 5- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
11590d |
Isogeny class |
Conductor |
11590 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
2543865920000000 = 212 · 57 · 194 · 61 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 2 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-91583,10380306] |
[a1,a2,a3,a4,a6] |
Generators |
[-210:4617:1] |
Generators of the group modulo torsion |
j |
84949630152586888681/2543865920000000 |
j-invariant |
L |
2.6445553810264 |
L(r)(E,1)/r! |
Ω |
0.45479975466318 |
Real period |
R |
0.83068124375023 |
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 |
92720bh1 104310bp1 57950bg1 |
Quadratic twists by: -4 -3 5 |