Atkin-Lehner |
3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775bg |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
-114969671630859375 = -1 · 310 · 514 · 11 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,74245,-14353878] |
[a1,a2,a3,a4,a6] |
Generators |
[194250:4862444:343] |
Generators of the group modulo torsion |
j |
3973592034719/10093359375 |
j-invariant |
L |
3.6058159135798 |
L(r)(E,1)/r! |
Ω |
0.17153559301664 |
Real period |
R |
10.510401517616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23925a1 14355e1 |
Quadratic twists by: -3 5 |