Atkin-Lehner |
2+ 3- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31218g |
Isogeny class |
Conductor |
31218 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
1043839208248049664 = 222 · 33 · 118 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-271527,-23462870] |
[a1,a2,a3,a4,a6] |
Generators |
[275240:5555682:343] |
Generators of the group modulo torsion |
j |
1249695959916097/589220020224 |
j-invariant |
L |
5.0785908609403 |
L(r)(E,1)/r! |
Ω |
0.21899032346693 |
Real period |
R |
7.7303124335036 |
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 |
93654bj1 2838f1 |
Quadratic twists by: -3 -11 |