Atkin-Lehner |
2- 3+ 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90480ba |
Isogeny class |
Conductor |
90480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-574701454080 = -1 · 28 · 35 · 5 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -5 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,395,36217] |
[a1,a2,a3,a4,a6] |
Generators |
[33:290:1] |
Generators of the group modulo torsion |
j |
26556760064/2244927555 |
j-invariant |
L |
5.0711453343205 |
L(r)(E,1)/r! |
Ω |
0.70361853898305 |
Real period |
R |
1.8018091677716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954755 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22620f1 |
Quadratic twists by: -4 |