Atkin-Lehner |
2- 3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
60258ba |
Isogeny class |
Conductor |
60258 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
798420253571432448 = 214 · 3 · 119 · 832 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11- -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-438567,-103229367] |
[a1,a2,a3,a4,a6] |
j |
5265935232125833/450687418368 |
j-invariant |
L |
5.2228851253242 |
L(r)(E,1)/r! |
Ω |
0.1865316117995 |
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 |
5478g1 |
Quadratic twists by: -11 |