Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275ge |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20275200 |
Modular degree for the optimal curve |
Δ |
4894882491654973125 = 310 · 54 · 77 · 115 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- 11+ -1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-383563425,-2891371495644] |
[a1,a2,a3,a4,a6] |
j |
116423188793017446400/91315917 |
j-invariant |
L |
0.13645729425855 |
L(r)(E,1)/r! |
Ω |
0.034114597976745 |
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 |
40425dg1 121275dk2 17325bl1 |
Quadratic twists by: -3 5 -7 |