Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694ct |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
23224320 |
Modular degree for the optimal curve |
Δ |
-5.8419753640609E+22 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 11- 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-47053575,124756493181] |
[a1,a2,a3,a4,a6] |
Generators |
[3307:-74662:1] |
Generators of the group modulo torsion |
j |
-1347365318848849/6831931392 |
j-invariant |
L |
5.3101626240709 |
L(r)(E,1)/r! |
Ω |
0.11185377304717 |
Real period |
R |
0.7417835797027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999858617 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154f1 9438g1 |
Quadratic twists by: -11 13 |