Atkin-Lehner |
2+ 3- 5+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122670n |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
114880463792985600 = 29 · 37 · 52 · 292 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-133785,-9391059] |
[a1,a2,a3,a4,a6] |
Generators |
[583:10221:1] |
Generators of the group modulo torsion |
j |
363262258500719761/157586370086400 |
j-invariant |
L |
4.3185852942832 |
L(r)(E,1)/r! |
Ω |
0.25969259111045 |
Real period |
R |
4.1574013303405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982277 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40890bg2 |
Quadratic twists by: -3 |