Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10200b |
Isogeny class |
Conductor |
10200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-23317558593750000 = -1 · 24 · 35 · 513 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -1 6 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-71008,10368637] |
[a1,a2,a3,a4,a6] |
Generators |
[482:9375:1] |
Generators of the group modulo torsion |
j |
-158384129218816/93270234375 |
j-invariant |
L |
4.3724229332991 |
L(r)(E,1)/r! |
Ω |
0.35203837091582 |
Real period |
R |
1.5525377680863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20400x1 81600cz1 30600cm1 2040q1 |
Quadratic twists by: -4 8 -3 5 |