Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200hu |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
1063756800 = 210 · 37 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -2 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-313,1343] |
[a1,a2,a3,a4,a6] |
Generators |
[2:27:1] |
Generators of the group modulo torsion |
j |
132893440/41553 |
j-invariant |
L |
9.6580229960264 |
L(r)(E,1)/r! |
Ω |
1.4375726491874 |
Real period |
R |
0.95975502286531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000504 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200bk1 22800cg1 91200gx1 |
Quadratic twists by: -4 8 5 |