Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275gf |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
2579684108203125 = 36 · 58 · 77 · 11 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- 11+ 3 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-55125,-4341094] |
[a1,a2,a3,a4,a6] |
j |
552960/77 |
j-invariant |
L |
1.2578298665714 |
L(r)(E,1)/r! |
Ω |
0.31445698252885 |
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 |
13475w1 121275dl1 17325bm1 |
Quadratic twists by: -3 5 -7 |