Atkin-Lehner |
3+ 5+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
58425c |
Isogeny class |
Conductor |
58425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-3606633675 = -1 · 33 · 52 · 194 · 41 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 0 0 6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-418,-4242] |
[a1,a2,a3,a4,a6] |
j |
-323855380480/144265347 |
j-invariant |
L |
1.0333562842271 |
L(r)(E,1)/r! |
Ω |
0.5166781436992 |
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 |
58425o1 |
Quadratic twists by: 5 |