Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800fj |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
790601280000000 = 212 · 3 · 57 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49408,4021312] |
[a1,a2,a3,a4,a6] |
Generators |
[-198:2450:1] |
Generators of the group modulo torsion |
j |
1771561/105 |
j-invariant |
L |
4.4301282503267 |
L(r)(E,1)/r! |
Ω |
0.49555226337779 |
Real period |
R |
1.1174725093663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000215 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3675l1 11760ce1 8400cg1 |
Quadratic twists by: -4 5 -7 |