Atkin-Lehner |
2- 3+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
100572h |
Isogeny class |
Conductor |
100572 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
401856 |
Modular degree for the optimal curve |
Δ |
-24494032618992 = -1 · 24 · 37 · 176 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 4 3 1 -3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14546,720873] |
[a1,a2,a3,a4,a6] |
Generators |
[-128:685:1] |
Generators of the group modulo torsion |
j |
-881395456/63423 |
j-invariant |
L |
9.6250837564788 |
L(r)(E,1)/r! |
Ω |
0.66082340114555 |
Real period |
R |
4.8550963057924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
348d1 |
Quadratic twists by: 17 |