Atkin-Lehner |
2- 3- 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
62010ce |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-652577772930033600 = -1 · 26 · 313 · 52 · 136 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-241907,-60004461] |
[a1,a2,a3,a4,a6] |
Generators |
[26597:4323486:1] |
Generators of the group modulo torsion |
j |
-2147532809235896809/895168412798400 |
j-invariant |
L |
9.7702983490871 |
L(r)(E,1)/r! |
Ω |
0.10548247689776 |
Real period |
R |
7.7187373014218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000166 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20670b1 |
Quadratic twists by: -3 |