Atkin-Lehner |
2+ 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
53280d |
Isogeny class |
Conductor |
53280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-233046720000 = -1 · 29 · 39 · 54 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 5 1 1 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8883,323082] |
[a1,a2,a3,a4,a6] |
j |
-7692038424/23125 |
j-invariant |
L |
3.9805835185948 |
L(r)(E,1)/r! |
Ω |
0.99514587986335 |
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 |
53280e1 106560dx1 53280bc1 |
Quadratic twists by: -4 8 -3 |