Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800bq |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-141600000000000 = -1 · 214 · 3 · 511 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -6 5 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28408,1939312] |
[a1,a2,a3,a4,a6] |
Generators |
[162:1250:1] |
Generators of the group modulo torsion |
j |
-39616946929/2212500 |
j-invariant |
L |
3.5371518936137 |
L(r)(E,1)/r! |
Ω |
0.57364011257289 |
Real period |
R |
0.77076894877225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003626 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8850l1 14160z1 |
Quadratic twists by: -4 5 |