Atkin-Lehner |
3+ 11+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
79101a |
Isogeny class |
Conductor |
79101 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8824930147837683 = 33 · 116 · 174 · 472 |
Discriminant |
Eigenvalues |
1 3+ 2 -2 11+ 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1332426,-591637571] |
[a1,a2,a3,a4,a6] |
Generators |
[7268:607601:1] [-1822590:1177597:2744] |
Generators of the group modulo torsion |
j |
9689233613484066347259/326849264734729 |
j-invariant |
L |
13.720146528149 |
L(r)(E,1)/r! |
Ω |
0.14052048619887 |
Real period |
R |
24.409512981619 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999485 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79101b2 |
Quadratic twists by: -3 |