Atkin-Lehner |
2- 3+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75900a |
Isogeny class |
Conductor |
75900 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-238615368750000 = -1 · 24 · 38 · 58 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77533,-8316938] |
[a1,a2,a3,a4,a6] |
j |
-206181203574784/954461475 |
j-invariant |
L |
1.7161625157727 |
L(r)(E,1)/r! |
Ω |
0.14301354431096 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15180m1 |
Quadratic twists by: 5 |