Atkin-Lehner |
2+ 5+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
42550d |
Isogeny class |
Conductor |
42550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
152914062500 = 22 · 59 · 232 · 37 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2026,29448] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:264:1] [7:121:1] |
Generators of the group modulo torsion |
j |
58818484369/9786500 |
j-invariant |
L |
5.0869016395517 |
L(r)(E,1)/r! |
Ω |
0.98068307825358 |
Real period |
R |
1.2967751132738 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8510e1 |
Quadratic twists by: 5 |