Atkin-Lehner |
2- 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
23650n |
Isogeny class |
Conductor |
23650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-3577062500 = -1 · 22 · 56 · 113 · 43 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 11- -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,362,-969] |
[a1,a2,a3,a4,a6] |
Generators |
[65:517:1] |
Generators of the group modulo torsion |
j |
335702375/228932 |
j-invariant |
L |
7.3485925905445 |
L(r)(E,1)/r! |
Ω |
0.79581566875156 |
Real period |
R |
0.76950321528524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
946b1 |
Quadratic twists by: 5 |