Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200gu |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
286720 |
Modular degree for the optimal curve |
Δ |
58482000000000 = 210 · 34 · 59 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10333,171037] |
[a1,a2,a3,a4,a6] |
Generators |
[-108:125:1] |
Generators of the group modulo torsion |
j |
61011968/29241 |
j-invariant |
L |
5.9145687416831 |
L(r)(E,1)/r! |
Ω |
0.5573444564319 |
Real period |
R |
2.6530131760514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200es1 22800bn1 91200iu1 |
Quadratic twists by: -4 8 5 |