Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
61600f |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
18931404800 = 212 · 52 · 75 · 11 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11+ -1 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-973,-9957] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:28:1] |
Generators of the group modulo torsion |
j |
995883520/184877 |
j-invariant |
L |
3.8963104251271 |
L(r)(E,1)/r! |
Ω |
0.86570090518874 |
Real period |
R |
2.2503790869836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997127 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61600p1 123200er1 61600bz1 |
Quadratic twists by: -4 8 5 |