Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800ci |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-354508257525030000 = -1 · 24 · 316 · 54 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -5 -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1656608,-820635213] |
[a1,a2,a3,a4,a6] |
Generators |
[63182681:2148510987:29791] |
Generators of the group modulo torsion |
j |
-427361108435200/301327047 |
j-invariant |
L |
4.2587432253317 |
L(r)(E,1)/r! |
Ω |
0.066534398319964 |
Real period |
R |
8.0010177681792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400er1 58800ds1 8400be1 |
Quadratic twists by: -4 5 -7 |