Atkin-Lehner |
2+ 3- 7+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
79254k |
Isogeny class |
Conductor |
79254 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
958464 |
Modular degree for the optimal curve |
Δ |
-556227268245686016 = -1 · 28 · 315 · 72 · 174 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 2 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,39447,-35765555] |
[a1,a2,a3,a4,a6] |
Generators |
[311:2396:1] |
Generators of the group modulo torsion |
j |
9311763370251887/763000367963904 |
j-invariant |
L |
3.9554376839417 |
L(r)(E,1)/r! |
Ω |
0.13871125343441 |
Real period |
R |
1.7822263813533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999392 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26418k1 |
Quadratic twists by: -3 |