Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200q |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
118195200 = 210 · 35 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 0 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-513,4617] |
[a1,a2,a3,a4,a6] |
Generators |
[8:31:1] |
Generators of the group modulo torsion |
j |
584362240/4617 |
j-invariant |
L |
4.8920182831312 |
L(r)(E,1)/r! |
Ω |
1.8753911375068 |
Real period |
R |
2.6085322584706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200in1 11400m1 91200ek1 |
Quadratic twists by: -4 8 5 |