Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11400bp |
Isogeny class |
Conductor |
11400 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
16667370000 = 24 · 35 · 54 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 2 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-708,-3987] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:57:1] |
Generators of the group modulo torsion |
j |
3930400000/1666737 |
j-invariant |
L |
4.9630505935186 |
L(r)(E,1)/r! |
Ω |
0.96128792248082 |
Real period |
R |
0.17209726234468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22800n1 91200bu1 34200bq1 11400f1 |
Quadratic twists by: -4 8 -3 5 |