Atkin-Lehner |
2+ 3- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76560q |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
546816 |
Modular degree for the optimal curve |
Δ |
19565061120 = 210 · 32 · 5 · 114 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-707640,-229357980] |
[a1,a2,a3,a4,a6] |
Generators |
[-25221565474:-15752748:51895117] |
Generators of the group modulo torsion |
j |
38270266868701743844/19106505 |
j-invariant |
L |
6.5806769406316 |
L(r)(E,1)/r! |
Ω |
0.16460628373375 |
Real period |
R |
9.9945712724902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002925 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38280q1 |
Quadratic twists by: -4 |