Atkin-Lehner |
2+ 3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59280b |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-106325400870000 = -1 · 24 · 316 · 54 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11376,-677565] |
[a1,a2,a3,a4,a6] |
j |
-10176786311344384/6645337554375 |
j-invariant |
L |
0.89821622375211 |
L(r)(E,1)/r! |
Ω |
0.22455405609994 |
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 |
29640s1 |
Quadratic twists by: -4 |