Atkin-Lehner |
3- 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
105525k |
Isogeny class |
Conductor |
105525 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
1752910400390625 = 37 · 512 · 72 · 67 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36792,1831491] |
[a1,a2,a3,a4,a6] |
j |
483551781049/153890625 |
j-invariant |
L |
3.4845001162235 |
L(r)(E,1)/r! |
Ω |
0.43556249725517 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35175u1 21105m1 |
Quadratic twists by: -3 5 |