Atkin-Lehner |
2+ 3- 5+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119850ba |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
14065250832000000 = 210 · 34 · 56 · 173 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -6 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-219801,-39269252] |
[a1,a2,a3,a4,a6] |
Generators |
[-268:771:1] |
Generators of the group modulo torsion |
j |
75160530649878913/900176053248 |
j-invariant |
L |
4.9244219017893 |
L(r)(E,1)/r! |
Ω |
0.22065148464129 |
Real period |
R |
0.92990194943118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4794d1 |
Quadratic twists by: 5 |