Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
122400dq |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
24 |
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] |
j |
-292754944/1193859 |
j-invariant |
L |
3.4963913617622 |
L(r)(E,1)/r! |
Ω |
0.14568307481309 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122400bl1 40800u1 4896a1 |
Quadratic twists by: -4 -3 5 |