Atkin-Lehner |
2- 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
62700bm |
Isogeny class |
Conductor |
62700 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
206918731602000 = 24 · 38 · 53 · 112 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17553,-573552] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:513:1] |
Generators of the group modulo torsion |
j |
299069769924608/103459365801 |
j-invariant |
L |
7.2967051645026 |
L(r)(E,1)/r! |
Ω |
0.42648824026574 |
Real period |
R |
0.17821674383217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62700n1 |
Quadratic twists by: 5 |