Atkin-Lehner |
2- 5+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124100c |
Isogeny class |
Conductor |
124100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
2438813200 = 24 · 52 · 174 · 73 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 0 0 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-458,-2783] |
[a1,a2,a3,a4,a6] |
Generators |
[48:-289:1] [-9:23:1] |
Generators of the group modulo torsion |
j |
26620000000/6097033 |
j-invariant |
L |
9.3078396300335 |
L(r)(E,1)/r! |
Ω |
1.048805705122 |
Real period |
R |
1.4791172453893 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999967573 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124100f1 |
Quadratic twists by: 5 |