Atkin-Lehner |
2- 3+ 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
62040r |
Isogeny class |
Conductor |
62040 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
121551360 |
Modular degree for the optimal curve |
Δ |
21979495216800000 = 28 · 37 · 55 · 112 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-236521771860,44274694440032100] |
[a1,a2,a3,a4,a6] |
j |
5716064466170742736348390500180287056/85857403190625 |
j-invariant |
L |
1.7177804457786 |
L(r)(E,1)/r! |
Ω |
0.05725934839721 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124080x1 |
Quadratic twists by: -4 |