Atkin-Lehner |
2+ 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
90846cb |
Isogeny class |
Conductor |
90846 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-969388387273184256 = -1 · 210 · 313 · 78 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 0 -3 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-119961,50027053] |
[a1,a2,a3,a4,a6] |
Generators |
[149:-6028:1] [-94:7823:1] |
Generators of the group modulo torsion |
j |
-2226025896193/11302695936 |
j-invariant |
L |
6.6898854656777 |
L(r)(E,1)/r! |
Ω |
0.24136755098289 |
Real period |
R |
1.7322868791309 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999743 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30282bc1 12978d1 |
Quadratic twists by: -3 -7 |