Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62700bp |
Isogeny class |
Conductor |
62700 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
99360 |
Modular degree for the optimal curve |
Δ |
-7586700000000 = -1 · 28 · 3 · 58 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 2 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1667,130463] |
[a1,a2,a3,a4,a6] |
Generators |
[133:1650:1] |
Generators of the group modulo torsion |
j |
5120000/75867 |
j-invariant |
L |
7.2374692388524 |
L(r)(E,1)/r! |
Ω |
0.55045276656321 |
Real period |
R |
0.486970785751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62700i1 |
Quadratic twists by: 5 |