Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275fr |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
286720 |
Modular degree for the optimal curve |
Δ |
48348931640625 = 38 · 59 · 73 · 11 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11+ 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13617,515416] |
[a1,a2,a3,a4,a6] |
j |
571787/99 |
j-invariant |
L |
2.4242279486736 |
L(r)(E,1)/r! |
Ω |
0.60605717727544 |
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 |
40425bp1 121275fz1 121275ft1 |
Quadratic twists by: -3 5 -7 |