Atkin-Lehner |
3- 5+ 7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
42735h |
Isogeny class |
Conductor |
42735 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
771840 |
Modular degree for the optimal curve |
Δ |
-3724646724171474255 = -1 · 34 · 5 · 7 · 1110 · 373 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-446219,147558161] |
[a1,a2,a3,a4,a6] |
Generators |
[-3698:129621:8] |
Generators of the group modulo torsion |
j |
-9825767619968705664169/3724646724171474255 |
j-invariant |
L |
7.699580480502 |
L(r)(E,1)/r! |
Ω |
0.23398934114558 |
Real period |
R |
3.2905688963476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128205ba1 |
Quadratic twists by: -3 |