Atkin-Lehner |
2- 3- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
16926bi |
Isogeny class |
Conductor |
16926 |
Conductor |
∏ cp |
1600 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
340746243196649472 = 216 · 310 · 75 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1813678,939560324] |
[a1,a2,a3,a4,a6] |
Generators |
[380:17282:1] |
Generators of the group modulo torsion |
j |
659787802000756947078625/340746243196649472 |
j-invariant |
L |
9.1631962153105 |
L(r)(E,1)/r! |
Ω |
0.2997359725785 |
Real period |
R |
0.076427231410392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50778j1 118482ce1 |
Quadratic twists by: -3 -7 |