Atkin-Lehner |
2- 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
124608cc |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
65894400 |
Modular degree for the optimal curve |
Δ |
-3.1682164529959E+25 |
Discriminant |
Eigenvalues |
2- 3+ 1 -2 11+ 0 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5340841665,-150230539642527] |
[a1,a2,a3,a4,a6] |
Generators |
[29196424958920506326149893367641320031277739262224189282983:2779237117802649342426609302607623520340710167787479337219752:329741294038339368044139635548267480960146574952662817] |
Generators of the group modulo torsion |
j |
-64270680662155941646665331249/120857866401516355584 |
j-invariant |
L |
4.7959718850398 |
L(r)(E,1)/r! |
Ω |
0.0088301297316604 |
Real period |
R |
90.522865665342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124608bk1 31152ba1 |
Quadratic twists by: -4 8 |