Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120bl |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27202560 |
Modular degree for the optimal curve |
Δ |
-1.4240761905919E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -2 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,84288237,490848499933] |
[a1,a2,a3,a4,a6] |
Generators |
[4305790198991081788:850420225039035621537:118566154011383] |
Generators of the group modulo torsion |
j |
218902267299584/470715894135 |
j-invariant |
L |
4.0040597314894 |
L(r)(E,1)/r! |
Ω |
0.040283877173519 |
Real period |
R |
24.849021571597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43560by1 29040bq1 87120bh1 |
Quadratic twists by: -4 -3 -11 |