Atkin-Lehner |
2+ 3+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
60258g |
Isogeny class |
Conductor |
60258 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-27328185020928 = -1 · 29 · 3 · 118 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- 3 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-35576,-2609856] |
[a1,a2,a3,a4,a6] |
j |
-23231254057/127488 |
j-invariant |
L |
0.69501820149264 |
L(r)(E,1)/r! |
Ω |
0.17375454992617 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60258u1 |
Quadratic twists by: -11 |