Atkin-Lehner |
2+ 3- 7- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
102942u |
Isogeny class |
Conductor |
102942 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
316915044829488 = 24 · 312 · 74 · 192 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37737,-2679075] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:315:1] [-111:420:1] |
Generators of the group modulo torsion |
j |
8152762159284625/434725713072 |
j-invariant |
L |
8.6956612732639 |
L(r)(E,1)/r! |
Ω |
0.34367351446341 |
Real period |
R |
1.5813811849924 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000484 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34314z2 |
Quadratic twists by: -3 |