Atkin-Lehner |
3- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112677d |
Isogeny class |
Conductor |
112677 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
6082560 |
Modular degree for the optimal curve |
Δ |
-5.3614192433742E+20 |
Discriminant |
Eigenvalues |
1 3- 4 -2 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2908189,2209949459] |
[a1,a2,a3,a4,a6] |
Generators |
[5497:387551:1] |
Generators of the group modulo torsion |
j |
-18374873741826841/3621702331503 |
j-invariant |
L |
12.111959286847 |
L(r)(E,1)/r! |
Ω |
0.15771837837402 |
Real period |
R |
7.6794850463999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003459 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4899c1 |
Quadratic twists by: -23 |