Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296o |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-2750364481536 = -1 · 211 · 312 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 0 -7 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48000,4064544] |
[a1,a2,a3,a4,a6] |
Generators |
[1050:729:8] |
Generators of the group modulo torsion |
j |
-16543192290482/3720087 |
j-invariant |
L |
5.7029071097159 |
L(r)(E,1)/r! |
Ω |
0.78581178106931 |
Real period |
R |
1.8143362109762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60648bg1 121296bf1 |
Quadratic twists by: -4 -19 |