Atkin-Lehner |
2+ 5- 19+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
60040b |
Isogeny class |
Conductor |
60040 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
22410240 |
Modular degree for the optimal curve |
Δ |
-2.0933897345429E+25 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 -4 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-542839820,4873212621332] |
[a1,a2,a3,a4,a6] |
j |
-69103308534503793293122706896/81773036505582021484375 |
j-invariant |
L |
0.67934659741807 |
L(r)(E,1)/r! |
Ω |
0.067934660069815 |
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 |
120080c1 |
Quadratic twists by: -4 |