Atkin-Lehner |
2+ 5+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
101840a |
Isogeny class |
Conductor |
101840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
-247674880 = -1 · 211 · 5 · 192 · 67 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 -1 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,157,2] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-38:1] |
Generators of the group modulo torsion |
j |
208974222/120935 |
j-invariant |
L |
5.4603122956883 |
L(r)(E,1)/r! |
Ω |
1.0479326850382 |
Real period |
R |
0.65131954206041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006327 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50920c1 |
Quadratic twists by: -4 |