Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51842b |
Isogeny class |
Conductor |
51842 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
13747505418332 = 22 · 710 · 233 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -4 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22892,1326884] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:1203:1] |
Generators of the group modulo torsion |
j |
926859375/9604 |
j-invariant |
L |
3.0179275216377 |
L(r)(E,1)/r! |
Ω |
0.70895483419527 |
Real period |
R |
1.0642171320499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000122 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7406e2 51842a2 |
Quadratic twists by: -7 -23 |