Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275ds |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
530898989468203125 = 37 · 57 · 710 · 11 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11- -1 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-720300,232671906] |
[a1,a2,a3,a4,a6] |
j |
12845056/165 |
j-invariant |
L |
2.3498104501782 |
L(r)(E,1)/r! |
Ω |
0.29372627957725 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425by1 24255bp1 121275cn1 |
Quadratic twists by: -3 5 -7 |