Atkin-Lehner |
2+ 3+ 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90480i |
Isogeny class |
Conductor |
90480 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
1130465425781250000 = 24 · 310 · 512 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -6 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-638515,189816850] |
[a1,a2,a3,a4,a6] |
Generators |
[2530:-121500:1] |
Generators of the group modulo torsion |
j |
1799358592611632982016/70654089111328125 |
j-invariant |
L |
4.86392497906 |
L(r)(E,1)/r! |
Ω |
0.27255222471882 |
Real period |
R |
1.4871538201262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999855386 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45240t1 |
Quadratic twists by: -4 |