Atkin-Lehner |
3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55233m |
Isogeny class |
Conductor |
55233 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
466560 |
Modular degree for the optimal curve |
Δ |
-6879497467542363 = -1 · 37 · 176 · 194 |
Discriminant |
Eigenvalues |
-1 3- -4 -3 0 -3 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,45418,1418600] |
[a1,a2,a3,a4,a6] |
Generators |
[6:1297:1] |
Generators of the group modulo torsion |
j |
109062327671/72412707 |
j-invariant |
L |
1.8234683190321 |
L(r)(E,1)/r! |
Ω |
0.26382860221323 |
Real period |
R |
0.5759636824425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992295 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18411k1 55233s1 |
Quadratic twists by: -3 -19 |