Atkin-Lehner |
2- 3- 5- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
126480by |
Isogeny class |
Conductor |
126480 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
4297014116352000 = 228 · 35 · 53 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5337240,4744170900] |
[a1,a2,a3,a4,a6] |
Generators |
[1335:90:1] |
Generators of the group modulo torsion |
j |
4105008323938620558361/1049075712000 |
j-invariant |
L |
9.9815730946893 |
L(r)(E,1)/r! |
Ω |
0.34917112518022 |
Real period |
R |
1.9057652792602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999913433 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15810c1 |
Quadratic twists by: -4 |