Atkin-Lehner |
3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
59823j |
Isogeny class |
Conductor |
59823 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
1671876092836413 = 311 · 177 · 23 |
Discriminant |
Eigenvalues |
2 3- 0 -1 0 -5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-47685,-3491915] |
[a1,a2,a3,a4,a6] |
j |
681472000/95013 |
j-invariant |
L |
1.3042727779253 |
L(r)(E,1)/r! |
Ω |
0.32606819388966 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19941g1 3519f1 |
Quadratic twists by: -3 17 |