Atkin-Lehner |
2- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
70720bp |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-330165160000 = -1 · 26 · 54 · 134 · 172 |
Discriminant |
Eigenvalues |
2- -2 5- -2 2 13- 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23940,1418038] |
[a1,a2,a3,a4,a6] |
Generators |
[81:130:1] |
Generators of the group modulo torsion |
j |
-23710150855722304/5158830625 |
j-invariant |
L |
3.7798821733537 |
L(r)(E,1)/r! |
Ω |
0.93709007576996 |
Real period |
R |
0.50420475449203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001666 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720bn1 35360a2 |
Quadratic twists by: -4 8 |