Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736y |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
341503337472 = 210 · 3 · 113 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11+ 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8488,-302524] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:18:1] |
Generators of the group modulo torsion |
j |
49626423500/250563 |
j-invariant |
L |
10.845417015969 |
L(r)(E,1)/r! |
Ω |
0.49753763274832 |
Real period |
R |
2.7247730392979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944484 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49368u1 98736v1 |
Quadratic twists by: -4 -11 |