Atkin-Lehner |
2+ 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12054r |
Isogeny class |
Conductor |
12054 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-7.911603324177E+19 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 4 -1 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3116328,-2160520106] |
[a1,a2,a3,a4,a6] |
j |
-28448852731909216489/672475186714464 |
j-invariant |
L |
2.3828743250635 |
L(r)(E,1)/r! |
Ω |
0.056735102977703 |
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 |
96432bo1 36162cj1 1722d1 |
Quadratic twists by: -4 -3 -7 |