Atkin-Lehner |
2+ 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560m |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-182432801016000 = -1 · 26 · 33 · 53 · 615 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 5 0 -2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12969,310581] |
[a1,a2,a3,a4,a6] |
j |
3769031102810624/2850512515875 |
j-invariant |
L |
1.8204220759826 |
L(r)(E,1)/r! |
Ω |
0.36408441498096 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58560bm1 29280bb1 |
Quadratic twists by: -4 8 |