Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126150bh |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
42871289062500 = 22 · 32 · 511 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-48651,-4122302] |
[a1,a2,a3,a4,a6] |
Generators |
[3617:215316:1] |
Generators of the group modulo torsion |
j |
33417362861/112500 |
j-invariant |
L |
7.3599655414197 |
L(r)(E,1)/r! |
Ω |
0.32152562581178 |
Real period |
R |
5.7226896037774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000158554 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25230q1 126150cf1 |
Quadratic twists by: 5 29 |