Atkin-Lehner |
3+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43197i |
Isogeny class |
Conductor |
43197 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-45738754677 = -1 · 33 · 77 · 112 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- 11- -6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-613,-12088] |
[a1,a2,a3,a4,a6] |
Generators |
[40:151:1] |
Generators of the group modulo torsion |
j |
-210554265625/378006237 |
j-invariant |
L |
2.2616875685571 |
L(r)(E,1)/r! |
Ω |
0.45256811733818 |
Real period |
R |
0.71392175387727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129591v1 43197e1 |
Quadratic twists by: -3 -11 |