Atkin-Lehner |
2+ 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61360b |
Isogeny class |
Conductor |
61360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-427188320000000 = -1 · 211 · 57 · 13 · 593 |
Discriminant |
Eigenvalues |
2+ 1 5+ 0 2 13- -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35256,2723444] |
[a1,a2,a3,a4,a6] |
j |
-2366492816943218/208588046875 |
j-invariant |
L |
2.0742519763228 |
L(r)(E,1)/r! |
Ω |
0.51856299444112 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30680b1 |
Quadratic twists by: -4 |