Atkin-Lehner |
2+ 3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
90846bb |
Isogeny class |
Conductor |
90846 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4283136 |
Modular degree for the optimal curve |
Δ |
-59210734000141206 = -1 · 2 · 319 · 74 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -5 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16549416,25917404638] |
[a1,a2,a3,a4,a6] |
Generators |
[2349:-1123:1] |
Generators of the group modulo torsion |
j |
-286386180379410828577/33828345414 |
j-invariant |
L |
2.4122172258374 |
L(r)(E,1)/r! |
Ω |
0.27232473748687 |
Real period |
R |
2.2144675932009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007756 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30282s1 90846br1 |
Quadratic twists by: -3 -7 |