Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275dx |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-682584415030546875 = -1 · 39 · 57 · 79 · 11 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11- -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-14700,-39755844] |
[a1,a2,a3,a4,a6] |
j |
-262144/509355 |
j-invariant |
L |
2.0762170181306 |
L(r)(E,1)/r! |
Ω |
0.1297635618687 |
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 |
40425cc1 24255bg1 17325m1 |
Quadratic twists by: -3 5 -7 |