Atkin-Lehner |
2+ 3+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650j |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1698816 |
Modular degree for the optimal curve |
Δ |
-947678871206922750 = -1 · 2 · 39 · 53 · 7 · 317 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 3 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-794382,276710426] |
[a1,a2,a3,a4,a6] |
Generators |
[499:-2342:1] |
Generators of the group modulo torsion |
j |
-22532578811728623/385176597554 |
j-invariant |
L |
4.6300487991168 |
L(r)(E,1)/r! |
Ω |
0.27941115045905 |
Real period |
R |
0.59181204935845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97650cq1 97650cs1 |
Quadratic twists by: -3 5 |