Atkin-Lehner |
2- 3- 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16926bh |
Isogeny class |
Conductor |
16926 |
Conductor |
∏ cp |
195 |
Product of Tamagawa factors cp |
deg |
31200 |
Modular degree for the optimal curve |
Δ |
-949043257344 = -1 · 213 · 35 · 7 · 133 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 1 13- -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5536,164864] |
[a1,a2,a3,a4,a6] |
Generators |
[128:-1312:1] |
Generators of the group modulo torsion |
j |
-18763629958015489/949043257344 |
j-invariant |
L |
8.2002299775645 |
L(r)(E,1)/r! |
Ω |
0.87201520216307 |
Real period |
R |
0.048224459068024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50778g1 118482ca1 |
Quadratic twists by: -3 -7 |