Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560bf |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-1812940424478720 = -1 · 225 · 311 · 5 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -2 -5 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-153121,23102015] |
[a1,a2,a3,a4,a6] |
Generators |
[131:2304:1] |
Generators of the group modulo torsion |
j |
-1514575392925321/6915818880 |
j-invariant |
L |
7.0180010831518 |
L(r)(E,1)/r! |
Ω |
0.47234036297104 |
Real period |
R |
0.33768027702352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58560cj1 1830a1 |
Quadratic twists by: -4 8 |