Atkin-Lehner |
2+ 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
60270k |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
14652233287272000 = 26 · 33 · 53 · 79 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-61619,-867058] |
[a1,a2,a3,a4,a6] |
j |
641172900367/363096000 |
j-invariant |
L |
1.9612202625617 |
L(r)(E,1)/r! |
Ω |
0.32687004325035 |
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 |
60270d1 |
Quadratic twists by: -7 |