Atkin-Lehner |
2- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
80080v |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2.9331973646462E+25 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11+ 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-89370216,194581890416] |
[a1,a2,a3,a4,a6] |
Generators |
[-190895755764:65810861129728:112678587] |
Generators of the group modulo torsion |
j |
19272683606216463573689449/7161126378530668544000 |
j-invariant |
L |
8.2006514442955 |
L(r)(E,1)/r! |
Ω |
0.060562793135598 |
Real period |
R |
11.28395149823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000271 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010f3 |
Quadratic twists by: -4 |