Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10200c |
Isogeny class |
Conductor |
10200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
612000000 = 28 · 32 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1308,18612] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:150:1] |
Generators of the group modulo torsion |
j |
61918288/153 |
j-invariant |
L |
4.47541275811 |
L(r)(E,1)/r! |
Ω |
1.6311682241899 |
Real period |
R |
1.3718427970029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20400z1 81600dg1 30600co1 408b1 |
Quadratic twists by: -4 8 -3 5 |