Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400gd |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
2075690448000000 = 210 · 310 · 56 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65133,-6032637] |
[a1,a2,a3,a4,a6] |
Generators |
[-153:612:1] |
Generators of the group modulo torsion |
j |
1909913257984/129730653 |
j-invariant |
L |
7.9234535569639 |
L(r)(E,1)/r! |
Ω |
0.30012358521647 |
Real period |
R |
2.640063609587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998433 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400c1 15600h1 2496x1 |
Quadratic twists by: -4 8 5 |