Atkin-Lehner |
2+ 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98838j |
Isogeny class |
Conductor |
98838 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
499338445917423888 = 24 · 36 · 179 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-200331,5983605] |
[a1,a2,a3,a4,a6] |
j |
50529889873/28377488 |
j-invariant |
L |
2.0325986036931 |
L(r)(E,1)/r! |
Ω |
0.25407481054082 |
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 |
10982e1 5814g1 |
Quadratic twists by: -3 17 |