Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
122400bl |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
-55700685504000000 = -1 · 212 · 311 · 56 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 5 5 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49800,12134000] |
[a1,a2,a3,a4,a6] |
Generators |
[-284:1836:1] |
Generators of the group modulo torsion |
j |
-292754944/1193859 |
j-invariant |
L |
7.8068860977355 |
L(r)(E,1)/r! |
Ω |
0.30804398102048 |
Real period |
R |
2.11195114578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004321 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122400dq1 40800bi1 4896l1 |
Quadratic twists by: -4 -3 5 |