Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
10620o |
Isogeny class |
Conductor |
10620 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
1083629456640 = 28 · 315 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -3 -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4512,-105356] |
[a1,a2,a3,a4,a6] |
Generators |
[-350:729:8] |
Generators of the group modulo torsion |
j |
54433153024/5806485 |
j-invariant |
L |
3.9978527920246 |
L(r)(E,1)/r! |
Ω |
0.58653818217589 |
Real period |
R |
1.7040036409879 |
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 |
42480bw1 3540f1 53100u1 |
Quadratic twists by: -4 -3 5 |