Atkin-Lehner |
2+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
102850bo |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
3305663281250 = 2 · 58 · 114 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 11- -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-183076,30135048] |
[a1,a2,a3,a4,a6] |
Generators |
[366:37213:8] |
Generators of the group modulo torsion |
j |
118654379305/578 |
j-invariant |
L |
2.623904555491 |
L(r)(E,1)/r! |
Ω |
0.70307552768157 |
Real period |
R |
1.8660190011532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998768694 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
102850cn1 102850dr1 |
Quadratic twists by: 5 -11 |