Atkin-Lehner |
2+ 3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552bi |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-3.8523369576361E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -1 -2 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,799647,2973765375] |
[a1,a2,a3,a4,a6] |
Generators |
[6675:552960:1] |
Generators of the group modulo torsion |
j |
215713926386390375/14695499258560512 |
j-invariant |
L |
7.5242653396666 |
L(r)(E,1)/r! |
Ω |
0.10647425434603 |
Real period |
R |
2.2083581855009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031234 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111552ci1 3486a1 |
Quadratic twists by: -4 8 |