Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736v |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1824768 |
Modular degree for the optimal curve |
Δ |
604993994035233792 = 210 · 3 · 119 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11+ -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1027088,398551140] |
[a1,a2,a3,a4,a6] |
j |
49626423500/250563 |
j-invariant |
L |
1.1644060079975 |
L(r)(E,1)/r! |
Ω |
0.29110150354013 |
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 |
49368b1 98736y1 |
Quadratic twists by: -4 -11 |