Atkin-Lehner |
2- 3+ 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73950cj |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
1179360 |
Modular degree for the optimal curve |
Δ |
-165072347642880000 = -1 · 213 · 33 · 54 · 175 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-575113,-169245769] |
[a1,a2,a3,a4,a6] |
Generators |
[1519:48888:1] |
Generators of the group modulo torsion |
j |
-33659161729624657825/264115756228608 |
j-invariant |
L |
8.4773147467687 |
L(r)(E,1)/r! |
Ω |
0.086641866267734 |
Real period |
R |
3.7631987996814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001304 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73950bg1 |
Quadratic twists by: 5 |