Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200l |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
38475000000 = 26 · 34 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15908,-766938] |
[a1,a2,a3,a4,a6] |
Generators |
[12729:264950:27] |
Generators of the group modulo torsion |
j |
445243675456/38475 |
j-invariant |
L |
5.8550549542539 |
L(r)(E,1)/r! |
Ω |
0.4251044350758 |
Real period |
R |
6.8866077010737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002642 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200ec1 45600bv4 18240be1 |
Quadratic twists by: -4 8 5 |