Atkin-Lehner |
2- 3+ 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
43758n |
Isogeny class |
Conductor |
43758 |
Conductor |
∏ cp |
3240 |
Product of Tamagawa factors cp |
deg |
4665600 |
Modular degree for the optimal curve |
Δ |
-4.7568713299904E+23 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 11- 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11732195,36613966115] |
[a1,a2,a3,a4,a6] |
Generators |
[-1605:227314:1] |
Generators of the group modulo torsion |
j |
-6614510824496145219145875/17618041962927377281024 |
j-invariant |
L |
9.1744108964291 |
L(r)(E,1)/r! |
Ω |
0.08246735964822 |
Real period |
R |
0.30902498662534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999938 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
43758b2 |
Quadratic twists by: -3 |