Atkin-Lehner |
2+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
23744t |
Isogeny class |
Conductor |
23744 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-6.7383163340825E+19 |
Discriminant |
Eigenvalues |
2+ -3 0 7- 0 -1 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,234740,-392508944] |
[a1,a2,a3,a4,a6] |
Generators |
[1832:78652:1] |
Generators of the group modulo torsion |
j |
5456888637366375/257046368945408 |
j-invariant |
L |
3.1330409228337 |
L(r)(E,1)/r! |
Ω |
0.09368802735871 |
Real period |
R |
0.8360302301056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23744bc1 742d1 |
Quadratic twists by: -4 8 |