Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560bi |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-24145275345960960 = -1 · 243 · 32 · 5 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 1 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-89121,-12708801] |
[a1,a2,a3,a4,a6] |
Generators |
[37265118:2742771117:6859] |
Generators of the group modulo torsion |
j |
-298626824461321/92106915840 |
j-invariant |
L |
7.6013516784559 |
L(r)(E,1)/r! |
Ω |
0.13600730067443 |
Real period |
R |
13.972322884225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998893 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58560ck1 1830b1 |
Quadratic twists by: -4 8 |