Atkin-Lehner |
11+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60401d |
Isogeny class |
Conductor |
60401 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
176256 |
Modular degree for the optimal curve |
Δ |
-27700732798211 = -1 · 11 · 178 · 192 |
Discriminant |
Eigenvalues |
-1 1 -3 4 11+ -6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3173,243964] |
[a1,a2,a3,a4,a6] |
Generators |
[3:502:1] [24:566:1] |
Generators of the group modulo torsion |
j |
506447/3971 |
j-invariant |
L |
6.7576343314085 |
L(r)(E,1)/r! |
Ω |
0.48587760576318 |
Real period |
R |
2.3180166675838 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60401j1 |
Quadratic twists by: 17 |