Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
23716b |
Isogeny class |
Conductor |
23716 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1824768 |
Modular degree for the optimal curve |
Δ |
-4.0939891932345E+23 |
Discriminant |
Eigenvalues |
2- -1 -1 7- 11+ 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11826379,26503310737] |
[a1,a2,a3,a4,a6] |
Generators |
[101649:9521974:27] |
Generators of the group modulo torsion |
j |
2575826944/5764801 |
j-invariant |
L |
3.6074617924566 |
L(r)(E,1)/r! |
Ω |
0.065737081357002 |
Real period |
R |
4.5730934479042 |
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 |
94864bq1 3388d1 23716c1 |
Quadratic twists by: -4 -7 -11 |