Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53280l |
Isogeny class |
Conductor |
53280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
2762035200 = 212 · 36 · 52 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -3 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19848,-1076272] |
[a1,a2,a3,a4,a6] |
j |
289591952896/925 |
j-invariant |
L |
1.6089051493576 |
L(r)(E,1)/r! |
Ω |
0.40222628711957 |
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 |
53280bl1 106560di1 5920n1 |
Quadratic twists by: -4 8 -3 |