Atkin-Lehner |
2- 3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
31878bl |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
958464 |
Modular degree for the optimal curve |
Δ |
-4.0664214785057E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,330160,297908003] |
[a1,a2,a3,a4,a6] |
Generators |
[104295:4193567:125] |
Generators of the group modulo torsion |
j |
5459725204437026375/55780815891710448 |
j-invariant |
L |
8.7962682766609 |
L(r)(E,1)/r! |
Ω |
0.14993113179252 |
Real period |
R |
7.3335905721311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10626g1 |
Quadratic twists by: -3 |