Atkin-Lehner |
2- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16100b |
Isogeny class |
Conductor |
16100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-281750000 = -1 · 24 · 56 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -2 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,42,-787] |
[a1,a2,a3,a4,a6] |
Generators |
[74:175:8] |
Generators of the group modulo torsion |
j |
32000/1127 |
j-invariant |
L |
5.3865019187674 |
L(r)(E,1)/r! |
Ω |
0.8352706433107 |
Real period |
R |
1.6122025722757 |
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 |
64400br1 644b1 112700p1 |
Quadratic twists by: -4 5 -7 |