Atkin-Lehner |
2- 3+ 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640bb |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-208327724236800 = -1 · 226 · 35 · 52 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 3 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7504,-650304] |
[a1,a2,a3,a4,a6] |
Generators |
[181:2570:1] |
Generators of the group modulo torsion |
j |
11407339418831/50861260800 |
j-invariant |
L |
5.3348697782014 |
L(r)(E,1)/r! |
Ω |
0.28421637030903 |
Real period |
R |
4.6926130301332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15330y1 |
Quadratic twists by: -4 |