Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
103428l |
Isogeny class |
Conductor |
103428 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
393120 |
Modular degree for the optimal curve |
Δ |
-2587993811290368 = -1 · 28 · 36 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6591,2456246] |
[a1,a2,a3,a4,a6] |
Generators |
[19722406:2400736304:1331] |
Generators of the group modulo torsion |
j |
-208/17 |
j-invariant |
L |
5.4132443130046 |
L(r)(E,1)/r! |
Ω |
0.37579639883887 |
Real period |
R |
14.404726430076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999895127 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11492a1 103428i1 |
Quadratic twists by: -3 13 |