Atkin-Lehner |
2+ 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
9150b |
Isogeny class |
Conductor |
9150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-34312500 = -1 · 22 · 32 · 56 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -1 5 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5125,-143375] |
[a1,a2,a3,a4,a6] |
j |
-953054410321/2196 |
j-invariant |
L |
1.1284829180947 |
L(r)(E,1)/r! |
Ω |
0.28212072952367 |
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 |
73200cn1 27450bt1 366a1 |
Quadratic twists by: -4 -3 5 |