Atkin-Lehner |
2+ 3+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74382f |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
5750784 |
Modular degree for the optimal curve |
Δ |
-6.5625572088438E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1797540,3786332544] |
[a1,a2,a3,a4,a6] |
Generators |
[-1140:16608:1] |
Generators of the group modulo torsion |
j |
5459725204437026375/55780815891710448 |
j-invariant |
L |
4.2761895020565 |
L(r)(E,1)/r! |
Ω |
0.098152965781377 |
Real period |
R |
1.8152743643373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10626g1 |
Quadratic twists by: -7 |