Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
92778t |
Isogeny class |
Conductor |
92778 |
Conductor |
∏ cp |
57 |
Product of Tamagawa factors cp |
deg |
306432 |
Modular degree for the optimal curve |
Δ |
-1191738605568 = -1 · 219 · 3 · 73 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -6 -1 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16449,806847] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:960:1] [95:288:1] |
Generators of the group modulo torsion |
j |
-222816910528753/539492352 |
j-invariant |
L |
12.729504080812 |
L(r)(E,1)/r! |
Ω |
0.86760490051917 |
Real period |
R |
0.25740360945894 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92778q1 |
Quadratic twists by: -47 |