Atkin-Lehner |
2+ 3- 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
62010m |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
229376 |
Modular degree for the optimal curve |
Δ |
80364960000 = 28 · 36 · 54 · 13 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-80790,-8818444] |
[a1,a2,a3,a4,a6] |
Generators |
[620:13074:1] |
Generators of the group modulo torsion |
j |
79996692631487841/110240000 |
j-invariant |
L |
2.9891892005249 |
L(r)(E,1)/r! |
Ω |
0.28317827805149 |
Real period |
R |
5.2779281327077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999751 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6890o1 |
Quadratic twists by: -3 |