Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680cc |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
11796480 |
Modular degree for the optimal curve |
Δ |
276297641693010000 = 24 · 39 · 54 · 75 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-850855242,-9552820819201] |
[a1,a2,a3,a4,a6] |
Generators |
[35143:1987020:1] |
Generators of the group modulo torsion |
j |
5840408678681577126692337664/23688069418125 |
j-invariant |
L |
7.8228014413445 |
L(r)(E,1)/r! |
Ω |
0.027953464098914 |
Real period |
R |
6.9962719205034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003967 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840y1 28560g1 |
Quadratic twists by: -4 -3 |