Atkin-Lehner |
2+ 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
80080d |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
7343586772121600 = 211 · 52 · 73 · 114 · 134 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-372683,-87473318] |
[a1,a2,a3,a4,a6] |
Generators |
[-351:308:1] |
Generators of the group modulo torsion |
j |
2795197557762143298/3585735728575 |
j-invariant |
L |
6.0194094896331 |
L(r)(E,1)/r! |
Ω |
0.19324048261572 |
Real period |
R |
0.64895493274311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974662 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40040f4 |
Quadratic twists by: -4 |