Atkin-Lehner |
2+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
100450p |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-33765263000000 = -1 · 26 · 56 · 77 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -2 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4058,-262284] |
[a1,a2,a3,a4,a6] |
Generators |
[93:909:1] |
Generators of the group modulo torsion |
j |
4019679/18368 |
j-invariant |
L |
1.9900021794698 |
L(r)(E,1)/r! |
Ω |
0.33048546504869 |
Real period |
R |
3.0107257113509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4018q1 14350a1 |
Quadratic twists by: 5 -7 |