Atkin-Lehner |
2+ 3- 5- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
62010s |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
936000 |
Modular degree for the optimal curve |
Δ |
-14689943184384000 = -1 · 213 · 36 · 53 · 135 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 13- 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1130319,-462294675] |
[a1,a2,a3,a4,a6] |
Generators |
[6571:521882:1] |
Generators of the group modulo torsion |
j |
-219078361234273767409/20150813696000 |
j-invariant |
L |
5.1928831822599 |
L(r)(E,1)/r! |
Ω |
0.073209406717859 |
Real period |
R |
4.7287941219859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996871 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6890l1 |
Quadratic twists by: -3 |