Atkin-Lehner |
2- 3+ 5- 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
42330x |
Isogeny class |
Conductor |
42330 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
17297280 |
Modular degree for the optimal curve |
Δ |
-4.6425459891598E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 1 -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,187296005,-318174813943] |
[a1,a2,a3,a4,a6] |
j |
726623189859933815801315155919/464254598915982256827801600 |
j-invariant |
L |
2.353899595713 |
L(r)(E,1)/r! |
Ω |
0.030178199944278 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126990q1 |
Quadratic twists by: -3 |