Atkin-Lehner |
2- 3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
103320bm |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
37492761600 = 210 · 36 · 52 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5907,174494] |
[a1,a2,a3,a4,a6] |
Generators |
[38:70:1] |
Generators of the group modulo torsion |
j |
30534944836/50225 |
j-invariant |
L |
7.0381144797227 |
L(r)(E,1)/r! |
Ω |
1.1542919064668 |
Real period |
R |
1.5243359191511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032497 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11480c1 |
Quadratic twists by: -3 |