Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150bw |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-2514014265937500 = -1 · 22 · 32 · 57 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 6 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-188,2412281] |
[a1,a2,a3,a4,a6] |
Generators |
[345:6427:1] |
Generators of the group modulo torsion |
j |
-1/3420 |
j-invariant |
L |
9.2538381681682 |
L(r)(E,1)/r! |
Ω |
0.36362223241989 |
Real period |
R |
3.1811304917145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830o1 2850k1 |
Quadratic twists by: 5 -19 |