Atkin-Lehner |
2+ 3+ 5- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
62010h |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-84915718875000 = -1 · 23 · 33 · 56 · 132 · 533 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -3 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6099,481293] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:534:1] [-474:6597:8] |
Generators of the group modulo torsion |
j |
-929342720841003/3145026625000 |
j-invariant |
L |
7.7404656562372 |
L(r)(E,1)/r! |
Ω |
0.53163687196318 |
Real period |
R |
1.8199606875585 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
62010bd2 |
Quadratic twists by: -3 |