Atkin-Lehner |
3- 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
24453b |
Isogeny class |
Conductor |
24453 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-640621479069 = -1 · 311 · 114 · 13 · 19 |
Discriminant |
Eigenvalues |
1 3- 3 1 11+ 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1368,43497] |
[a1,a2,a3,a4,a6] |
j |
-388537587073/878767461 |
j-invariant |
L |
3.2337835438095 |
L(r)(E,1)/r! |
Ω |
0.8084458859524 |
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 |
8151g1 |
Quadratic twists by: -3 |