Atkin-Lehner |
2- 7+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
100688u |
Isogeny class |
Conductor |
100688 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
21677723648 = 212 · 7 · 293 · 31 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 3 -1 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1013,-9859] |
[a1,a2,a3,a4,a6] |
Generators |
[460:9831:1] |
Generators of the group modulo torsion |
j |
28094464000/5292413 |
j-invariant |
L |
10.090140339573 |
L(r)(E,1)/r! |
Ω |
0.85721493361525 |
Real period |
R |
3.9236135309775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002088 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6293f1 |
Quadratic twists by: -4 |