Atkin-Lehner |
2+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
20090b |
Isogeny class |
Conductor |
20090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
1205902250000 = 24 · 56 · 76 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8208,-284752] |
[a1,a2,a3,a4,a6] |
Generators |
[-6845:11581:125] |
Generators of the group modulo torsion |
j |
519912412921/10250000 |
j-invariant |
L |
5.0365928641698 |
L(r)(E,1)/r! |
Ω |
0.50217326270788 |
Real period |
R |
5.0147959262216 |
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 |
100450by1 410c1 |
Quadratic twists by: 5 -7 |