Atkin-Lehner |
5- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
80465k |
Isogeny class |
Conductor |
80465 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
313200 |
Modular degree for the optimal curve |
Δ |
-22383673235 = -1 · 5 · 7 · 116 · 192 |
Discriminant |
Eigenvalues |
2 3 5- 7+ 11- -3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-11737,489475] |
[a1,a2,a3,a4,a6] |
Generators |
[7974330:50922647:74088] |
Generators of the group modulo torsion |
j |
-100934332416/12635 |
j-invariant |
L |
24.015186503947 |
L(r)(E,1)/r! |
Ω |
1.1602444811665 |
Real period |
R |
10.349192299409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000171 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
665e1 |
Quadratic twists by: -11 |