Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275fw |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-5.3532314771377E+20 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,628195,1096404572] |
[a1,a2,a3,a4,a6] |
j |
163667323/3195731 |
j-invariant |
L |
0.49137316173117 |
L(r)(E,1)/r! |
Ω |
0.12284331329541 |
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 |
13475r1 121275fp1 17325br1 |
Quadratic twists by: -3 5 -7 |