Atkin-Lehner |
2- 3+ 5+ 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670be |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
356352 |
Modular degree for the optimal curve |
Δ |
-46805078050560 = -1 · 28 · 39 · 5 · 292 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4403,-346733] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1358:1] |
Generators of the group modulo torsion |
j |
-479497118283/2377944320 |
j-invariant |
L |
12.796059913036 |
L(r)(E,1)/r! |
Ω |
0.26466972289168 |
Real period |
R |
3.0217046914737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015154 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122670g1 |
Quadratic twists by: -3 |