Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800dh |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-15050409120000 = -1 · 28 · 313 · 54 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 4 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-739108,244327688] |
[a1,a2,a3,a4,a6] |
Generators |
[503:270:1] |
Generators of the group modulo torsion |
j |
-279079557819422800/94065057 |
j-invariant |
L |
9.3614199536302 |
L(r)(E,1)/r! |
Ω |
0.56521512789928 |
Real period |
R |
0.42468150131153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994662 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17700g1 70800bl1 |
Quadratic twists by: -4 5 |